Solve Calc 2 Integral 0 to h: 1/((h-r)^2+r^2))

[t8ened]

Homework Statement

this integral owned me, can anyone tell me what to do to solve it/ how to solve it or a step by step solution. from 0 to h, 1/((h-r)^2+r^2))dr

Homework Equations

The Attempt at a Solution

Im thinking partial factions or trig sub...

 

[Mark44]

Let's look at the denominator.
(h - r)^2 + r^2 = h^2 - 2hr + r^2 + r^2
= 2r^2 - 2hr + h^2
= 2(r^2 - rh) + h^2

Now, complete the square in the first expression to get
2(r - A)^2 + B^2 (you'll have to figure out A and B)

The antiderivative of the expression above is K * arctan(something) + C.

Enough of a hint?