Find the Mistake in Homework Statement

[ddr]

Homework Statement

π^2
4
∫ COS(√x) dx
0

Homework Equations

The Attempt at a Solution

t=√x ; x=t^2 ; dx= 2t

π
2
∫ COSt · 2t dt = [SINt · 2t ] - ∫ 2SINt dt = π +2
0

yes but.. where is the mistake?
'cause the result is: π/2 - 1

thanx a lot

 

[cristo]

I get π +2. What makes you think the answer is π/2 - 1?

 

[neutrino]

The answer should be \pi - 2. Check the substitutions in the final step.

 

[ddr]

Neutrino is right, the result is π - 2, but why does the book report a π/2 - 1 result?

 

[neutrino]

A typo, perhaps?