Question

If f(x)= \int\limits^x_0 cos(t^2)dt for -2.5≤x≤2.5, on which interval is f increasing?

Answer 1

C

Explanation:

It will be increasing when

cos(x²) > 0

cos is positive:

[0, pi/2]

0 < x² < pi/2

-sqrt(pi/2) < x < sqrt(pi/2)