Integration by using substitution

[mathlover66]

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.

[buddy]

cant yo7u square it out? integrate 1-2sqrtx+x=1-2x^(1/2)+x.

[mathlover66]

Thanks!

I appreciate it!

Now that makes sense.