Watching from the UK. Got my a level exams in a few weeks and just stumbled across this exact question in a workbook. Spent well over an hour trying to figure it out until i found your video. Thanks a lot for this!
when i first got introduced to this integral, it was an indefinite one from negative infinity to infinity i changed it to the dirichlet integral and it was so much fun, you should make a video doing that too!
Okay so this comment is old but let me explain e^ln(x) is x due to logarithmic rules e and ln cancel therefore if u = ln x, e^u = e^ln x, using the mention algebraic rule e^u = x
Watching from the UK. Got my a level exams in a few weeks and just stumbled across this exact question in a workbook. Spent well over an hour trying to figure it out until i found your video. Thanks a lot for this!
M getting insane , I couldn't integrate a simple function and now m playing with it , I love this guy
when i first got introduced to this integral, it was an indefinite one from negative infinity to infinity i changed it to the dirichlet integral and it was so much fun, you should make a video doing that too!
im too hot to be doing integrals. this is unfair
same
I don't understand why exactly put e^lnx=× i am confusing
e and ln cancel out with each other, therefore leaving only the x
That's really good problem
Is there a particular reason why you declared e^u = e^lnx? I’m assuming you did this because the process of anti differentiating is cleaner.
If you tried to just substitute lnx with u there would be an x an in the denominator that couldn’t be cancelled
Okay so this comment is old but let me explain e^ln(x) is x due to logarithmic rules e and ln cancel therefore if u = ln x, e^u = e^ln x, using the mention algebraic rule e^u = x
my friend showed me a much shorter way to solve it that is more beneficial for the AP exam MCQ
@@yoonashou it’s literally the shortest way tho show me your way then
😮
The goat 😭🙏
Thank you !
What if you'd just differentiate u=ln(x) and substitute those values? How would you integrate sin(u)/u?
cuz u dont get sinu/u you get sinu/x then u have to end up solving for x anyway and then end up with sinu e^u
I love your voice
hi you are very clever i want from you make video about integration ln(x+x^2)
I like this 😊
thanks for your tutor
Merci beaucoup
Thank You so much.
Just when I thought the earlier vid was long 💀
Thank youu
Sir what is definite integral upper limit is1 and lower limit is -1
It's so complicated.
where did the 2 came from?
The integrals were the same. So it's just like x+x=2x
divergen or kovergen
I don’t inderstand why and how you start with U
Titi Trollerbro u substitutions
❤️♾
Early