Question

let the function h(x)= (integrand symbol from 2 to x^2)arctan (t) dt. Find h'(x).

This question confused me because i know the derivative of an integral is the original function. I just need help with finding the derivative of that integral. I don't know how to post integral symbol sorry about that.

Answer 1

arc tan t
where t = x^2
so
arc tan x^2

(it is how fast the area is changing at the right side of the area, the high limit of t)

Answer 2

so after i did this problem i was stuck on two answer choices: arctan(x^2) or 2x arctan (x^2)