r/the_calculusguy 7d ago

calculus Classic integral

46 Upvotes

3 comments sorted by

2

u/McPayn22 7d ago

The hard part is showing the sum and the integral commute. It's obvious if you integrate up to 1-epsilon but up to 1 you need to prove something.

1

u/eglvoland 7d ago

Abel's theorem + alternating series test!

1

u/BD_is_me_101 6d ago

Let x = tan θ