Question

PRove the following for a>0:

Answer 1

\[\int\limits_{?}^{?}dx/(x ^{2}+a)^{2} = 1/2a((x/x ^{2}+a) + (1/\sqrt{a})\tan^{-1} x/\sqrt{a})\]

Answer 2

it can be solved by substituting x=tanu

Answer 3

really?
if I used \[x=atan \theta \]
dx = \[a \sec ^{2}\theta d \theta\]