Recent content by groditi

Yikes. That was a latex typo, my apologies. Thank you for pointing out that dx error, i was under the impression that the 2xwould come from the derivative of x^{2}. I am learning this all from a set of notes and some videos, all by myself (no teacher or classmates) so it feels very overwhelming...

Homework Statement This is the problem I was given: I_{n} = \int^{0}_{\infty}(1 + x^{2})^{-n} dx I was told to "deduce that" I_{n} = 2n(I_{n} - I_{n + 1}) so I can "Hence or otherwise show that" \int^{0}_{\infty}(1 + x^{2})^{-4} dx = \frac{5\pi}{32} Homework Equations I...