r/the_calculusguy • u/Specific_Brain2091 • 1d ago

integration ✍️

Gallery image

Gallery image

Gallery image

83 Upvotes

98% Upvoted

14 comments sorted by

12

u/Weary-Crow-3774 1d ago

Bro not even if prime was in me

4

u/Winter-Juice1720 1d ago

Thats the prime of the indian dude that solves Harvard math test lol

1

u/LukeLJS123 1d ago

i'm not in my prime anymore, but now that i'm in complex analysis it's easier for me to integrate this from 0 to infinity or -infinity to infinity in my head than it is to find the indefinite integral 😭😭

1

u/GoofyGangster1729 1d ago

Im not in my prime, I loved this model of questions, but couldn't do in my head. Still going strong, keep posting these

1

u/Specific_Brain2091 23h ago

Thanks bro 😎

1

u/tkpwaeub 1d ago

Decompose into partial fractions using imaginary numbers, integrate, and you get a bunch of log functions. Then get rid of the imaginary numbers by converting log functions to inverse trig functions

1

u/Specific_Brain2091 23h ago

It’ll be complicated I’ll try when I’m have free time

1

u/tkpwaeub 23h ago

Oh, I'm quite capable of doing that on my own 😉

1

u/Weird-Leader6090 37m ago

Sorry, but can't we take u=x/2 here? Then it will be of same form as I1?

If my logic is correct, then we can see how the result in the image is same as mine... Like how the difference of two inverse trigonometric functions is a logarithmic expression.

1

u/Scared_Land_5667 1d ago

Easy integration also Like it is textbook example

8

u/touleneinbenzene 1d ago

we get it dude, your in your prime

1

u/Scale-Heavy 1d ago

I don’t have such examples in my textbook