SOLUTION: f(x) = tan^-1(x) ... find the area bounded by [0,pi/4] using any technique

SOLUTION: f(x) = tan^-1(x) ... find the area bounded by [0,pi/4] using any technique

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Question 85525: f(x) = tan^-1(x) ... find the area bounded by [0,pi/4] using any technique
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
A(x) = f'(x)

[u = arctan(x)
[du = dx/(1 + x^2)
[dv = dx
[v = x

[u = 1 + x^2
[du = 2x dx

| / 0
| / 0
(pi/4)(arctan(pi/4) - (1/2)ln(1 + pi^2/16)
Aprox. 0.2827
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