Eric R. answered • 12/03/21

College Board's top ranked AP calculus/AP physics teacher, Navy Vet.

the der, of the integral gives the original function back (since they are inverse operations)

but change the t to an x (or x^6 in this problem) thats from the other fundamental thm of calc) and then mult by the chain rule( derivative) of upper limit which =6x^5

so answer =

= ln[1+(x^6)^4]*(6x^5)