Evaluate the integral: the integral of the cube root of x, dx.

Question

a. (3/4)x^(4/3)+C
b. (3/2)x^(2/3)+C
c. 1/(3x^(2/3))+C
d. None of these

I got (3x^(4/3)/4)+C. I was wondering if it would be D.

Answer 1

you have integral x^(1/3) dx

by the power rule, that is

(3/4) x^(4/3) + C

Choice A is correct.

In fact that is your answer, but you did not recognize it!

It's always sad to get a question wrong, but to miss it when you got it right is tragic.

Answer 2

Thanks, Steve. I was afraid that was the case.