Question #c4c27

1 Answer
Aug 13, 2017

Explained below

Explanation:

The problem is about application of the FTC (Fundamental Theorem of Calculus)

Accordingly# f'(x) = sin x^2 /(1+x^4) #

#f'(0) = 0/1= 0#

#f'(sqrt pi)= sin pi / (1+0)#=0

#f(-42) = int_-42 ^-42 sin t^2 /(1+t^2) # =0