Find derivative using fundamental theorem of calculus part 1

[kraphysics]

Homework Statement

The Attempt at a Solution

since cos(x^2) is on bottom i flipped it and so it becomes negative. then I got

-[(1+cos(x^2))(-sin (x^2))(2x)]

substituting with sqrt(pi/2) I keep getting the answer as sqrt(2pi) since the negatives cancel however it says the answer is supposed to be -sqrt(2pi). What am I doing wrong?

 

[Dick]

I don't think you are doing anything wrong. I think the given answer is wrong.

 

[kraphysics]

I don't think you are doing anything wrong. I think the given answer is wrong.

Really?!
thank you. I've been going crazy over this question for a long time