Hey man, I recently found your channel, and I'm loving the Integration Bee content! I know there are many integration techniques- Could you ever cover examples of the more advanced ones, like Infinite Series and the Gamma Function? I think it would be great content for the channel, and offer educational value for learners such as myself. Currently a young college student, hoping to improve his skills :)👌🏽
If you go to my channel playlist, I have an Integration Bee Training Series in all 3 levels!! 😃 I believe the Gamma function is in Intermediate level, but the Infinite Series is in Advanced level. Thank you, I really appreciate it!!!
@@Silver-cu5upThe pleasure is mine, man- You're doing a great job with the content quality! 100% eager to continue watching, and I hope you use your passion to bring new ideas for future videos. 💯💜
you are very good wow, how did you initially learn all of what you know about math and speed integration to begin with? Did you study it at college/university or are you self taught?
@@fxrce6929 self-taught ;_; There werent that much resources back then sadly...so i started writing a journal to collect integration bee techniques and archive common sneaky integrals during high school.
@ would u be knowing any resources for algebra like you know so many for calc? I’m prepping for JEE Advanced and math is kind of??my strongest point and hence I need to sharpen it more so…
@adityavsx oh dang, unfortunately idk much resources for JEE Algebra ;_; Id probably look into those JEE videos on TH-cam where coaches do oneshots or problem marathon like Vedantu or other coaches. But if those dont help, sorry idk much about it ;_; You could also look into a book called JEE Algebra Booster (i forgot the author name but its a blue book). Thats as much as i know sadly. Sry about that.
1+sqrt(2) is the height of a regular octagon with side length 1. Assuming the points are labeled A-H going counterclockwise, construct triangle ABE. The height of this triangle is sqrt(2)+1, and the width is 1. Since line AE bisects angle HAB, which measures 3pi/4 because it's a regular octagon, angle EAB measures 3pi/8, except that's exactly the angle we want. Thus, arctan(sqrt(2)+1)=3pi/8.
@@maxvangulik1988 I feel like this must be some part of their intention when creating this problem!!! So the actual answer to that original integral would've been 3pi/4!!!
At 7:58 the answer is correct though? 1/2(tan(π/2-1)+tan(1)-π/2) is exactly equal to that integral
CMM says it should be csc(2)-pi/4 ;_;
@Silver-cu5up That's the same thing as well 🤩 Well I guess they wanted the simplest possible form...
@@eggcorpprod really? Huh, last time i put it in wolframalpha, it was a different numerical answer
Hey man, I recently found your channel, and I'm loving the Integration Bee content! I know there are many integration techniques- Could you ever cover examples of the more advanced ones, like Infinite Series and the Gamma Function? I think it would be great content for the channel, and offer educational value for learners such as myself. Currently a young college student, hoping to improve his skills :)👌🏽
If you go to my channel playlist, I have an Integration Bee Training Series in all 3 levels!! 😃
I believe the Gamma function is in Intermediate level, but the Infinite Series is in Advanced level.
Thank you, I really appreciate it!!!
@@Silver-cu5upThe pleasure is mine, man- You're doing a great job with the content quality! 100% eager to continue watching, and I hope you use your passion to bring new ideas for future videos. 💯💜
you are very good wow, how did you initially learn all of what you know about math and speed integration to begin with? Did you study it at college/university or are you self taught?
@@fxrce6929 self-taught ;_;
There werent that much resources back then sadly...so i started writing a journal to collect integration bee techniques and archive common sneaky integrals during high school.
Cover up method for partial fractions ftw for Q11
@@calcul8er205 shouldve speedsolved passively 😭
your pen strokes got me bricked bro icl
@@SCBA-if4wl LMFAO
got 13/14 (I fvked up the partial fractions one hard) in 10mins and 15s so yippieee
@@adityavsx sheeeeeeeeeeesh, very nice!
@ would u be knowing any resources for algebra like you know so many for calc? I’m prepping for JEE Advanced and math is kind of??my strongest point and hence I need to sharpen it more so…
@adityavsx oh dang, unfortunately idk much resources for JEE Algebra ;_;
Id probably look into those JEE videos on TH-cam where coaches do oneshots or problem marathon like Vedantu or other coaches. But if those dont help, sorry idk much about it ;_; You could also look into a book called JEE Algebra Booster (i forgot the author name but its a blue book). Thats as much as i know sadly. Sry about that.
@ no problems uff, chillax 😂thnx doe
4:26 ruined my asmr bruh
lmfao
I think the panicking makes you realized how short 10 minutes are xD
Surprisingly yea xD
arctan(sqrt(2)+1) has a known value 😈
1+sqrt(2) is the height of a regular octagon with side length 1. Assuming the points are labeled A-H going counterclockwise, construct triangle ABE. The height of this triangle is sqrt(2)+1, and the width is 1. Since line AE bisects angle HAB, which measures 3pi/4 because it's a regular octagon, angle EAB measures 3pi/8, except that's exactly the angle we want.
Thus, arctan(sqrt(2)+1)=3pi/8.
@@maxvangulik1988 OMFG, THATS CRAZY!!!
@@maxvangulik1988 I feel like this must be some part of their intention when creating this problem!!!
So the actual answer to that original integral would've been 3pi/4!!!
DONT PANIC DONT PANIC DONT PANIC😊