I was working on integrating volumes, then I ran into this problem.

How can I integrate this problem by using substitution? I forgot some of these concepts.

I have

pi integral from 0 to 1 (1-x^3)^2 dx - pi integral from 0 to 1 (1-sqrt(x))^2 dx

I got the first part, but I need help with the second part.

I am trying to integrate just this problem by using substitution => pi integral from 0 to 1 (1-sqrt(x))^2 dx

How do you do it?

Thank you for your time. I truly appreciate it.