Shortest Solution to this Interesting Integral from NTU Entrance Exam by @blackpenredpen | PK Math

In this video, we are evaluating an interesting integral from NTU Entrance Exam by @blackpenredpen, and this is my take on this integral through the possibly shortest solution using integration by parts and trig substitution. Stay tuned! Video of this integral from @blackpenredpen below https://www.youtube.com/watch?v=PWGJGnji5Nk 🔔 Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. 👉 Twitter: https://twitter.com/drpkmath 👉 Instagram: https://ift.tt/Zy2uLfe ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: 👉Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT 👉National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: 👉 The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g 👉 A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ 👉 South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo 👉 A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: 📩 Email: patcastle6022@gmail.com 🔔Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #integral #integrationbyparts #trigsubstitution Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=rkmnYA2QUYM

Feynman's technique is the greatest integration method of all time | PK Math

In this video, we are evaluating an extremely challenging integral using Feynman technique after working on many trig substitutions. This integral is very challenging as we need to make the integrand a form that is easier to work with through trig substitution and eventually use Feynman technique. Feynman technique is one overpowered one we can use for challenging integral when necessary. More to come! Stay tuned! Problem credit to @usdescartes 🔔 Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. 👉 Twitter: https://twitter.com/drpkmath 👉 Instagram: https://ift.tt/UJoOjCa ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: 👉Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT 👉National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: 👉 The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g 👉 A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ 👉 South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo 👉 A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: 📩 Email: patcastle6022@gmail.com 🔔Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #integral #feynmantechnique #trigsubstitution Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=pOwXM76UxJ4

2022 Korean College Entrance Exam (Suneung) - Grouping Functions | PK Math

In this video, we are solving this interesting algebra question about grouping functions to come up with the answer with graphs. Graphing method is time to time strongly recommended to use when visualizing the function at hands, and this interesting algebra problem from Korean CSAT Math exam in 2022 helps you walk through how to use graphing method and group functions. More to come! Stay tuned! 🔔 Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. 👉 Twitter: https://twitter.com/drpkmath 👉 Instagram: https://ift.tt/uzBa5Ad ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: 👉Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT 👉National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: 👉 The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g 👉 A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ 👉 South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo 👉 A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: 📩 Email: patcastle6022@gmail.com 🔔Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #KoreanCSAT #KoreanSATmath #groupingfunctions Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=ZYshwseiriU

Viral Math Problem - Mensa Math IQ Test - See the Patterns?

from PK Math https://www.youtube.com/watch?v=8aj9kPMuOxQ

A Very Interesting Arithmetic Sequence Problem Collaborated with @SyberMath | PK Math

In this video, I am collaborating with @SyberMath working on this interesting arithmetic sequence problem suggested by @usdescartes. This is a very interesting arithmetic sequence problem that terms are not given as a number but as a variable in expression, and we work to solve problem together and come up with nice solutions at the end. This is quite an interesting arithmetic sequence working with common difference in expression. More to come! Stay tuned! 🔔 Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. 👉 Twitter: https://twitter.com/drpkmath 👉 Instagram: https://ift.tt/RCHB7O2 ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: 👉Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT 👉National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: 👉 The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g 👉 A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ 👉 South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo 👉 A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: 📩 Email: patcastle6022@gmail.com 🔔Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #arithmetic #sequence #commondifference Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=c57I7uPrPgM

Korean Math Olympiad - An Interesting Partial Derivatives Using Lagrange Multiplier | PK Math

In this video, we are solving this interesting algebra question using partial derivatives with lagrange multiplier. This is from Korean Math Olympiad, and important algebraic techniques and derivative skills are included. We specifically use lagrange multiplier to solve this question by calculating the minimum and maximum value asked by the question. How to use lagrange multiplier for partial derivative? Very interesting problem from Korean Math Olympiad. More to come! Stay tuned! 🔔 Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. 👉 Twitter: https://twitter.com/drpkmath 👉 Instagram: https://ift.tt/8YoyIgi ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: 👉Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT 👉National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: 👉 The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g 👉 A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ 👉 South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo 👉 A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: 📩 Email: patcastle6022@gmail.com 🔔Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #matholympiad #lagrangemultiplier #derivatives Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=3XZ8Xheg9nc

JEE Advanced Mathematics - A Challenging and Interesting Calculus Problem | PK Math

In this video, we are solving a challenging yet interesting calculus problem from JEE Advanced Mathematics. This problem is interesting as it contains solutions with limits and integral through integration by parts. Very interesting calculus problem from JEE Advanced Mathematics, presenting important factoring skills, converting skills to integral, and also limit properties. More to come! Stay tuned! 🔔 Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. 👉 Twitter: https://twitter.com/drpkmath 👉 Instagram: https://ift.tt/QUNi5bk ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: 👉Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT 👉National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: 👉 The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g 👉 A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ 👉 South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo 👉 A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: 📩 Email: patcastle6022@gmail.com 🔔Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #jeeadvanced #limits #calculus Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=WcLmlJjhr9A