Find the antiderivative of f(x)= the 5th root of x^2.

Question

A. the 5th root of (x^3)/3 + C
B. (2x^1/5)/ 5 + C
C. (5x^7/5)/ 7 + C <------- My choice
D. None of these

2. Find F ′(x) for F(x)= the integral from 1 to x of the square root of the quantity t^3 + 1, dt.

A. sqrt(x^3 +1) <------- My choice
B. 3x^2 sqrt(x^3 +1)
C. 2/3 (x^3 +1)^3/2 - sqrt(2)
D. None of these

Thank you. and i made sure to show you my choice on these. :)

Answer 1

#1. ok
#2. ok
good job.