Evaluate the definite integral. Enter exact values.

Question

Evaluate the definite integral. Enter exact values.

1

∫ (2tan^-1(x))/(1+x^2) dx

0

Answer 1

Answer is pi^2 / 16 = 0.61685

method is u-sub

let u = arctan(x)

u(0) = arctan(0) = 0

u(1) = arctan(1) = pi/4

= 2 [ u^2 / 2] from 0 to pi/4

= pi^2 / 16