# For the life of me I can't solve this integral sqrt(1-x^3)

## Homework Statement

Hi, I have a double integral with square root of 1-x^3 that I can't solve.

Here is the integral and attempt at the solution. I get stuck!

## Homework Equations

I am in Calc II.

Mostly we used integration by parts, or substituting t=something for most "difficult" integrals.

## The Attempt at a Solution

Above.

Hope someone can help or give me a hint how to solve this.

Thanks!

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mfb
Mentor
Hint: x2 is the derivative of 1-x3 (up to a prefactor).

Hint: x2 is the derivative of 1-x3 (up to a prefactor).
Thank you!!!!

I solved it and got 0 for an answer, is that possible?

mfb
Mentor
##\sqrt{1-x^3}## is positive everywhere, can the result be 0?

Chestermiller
Oops, when I solved for x=1 I got 0 and for some reason assumed solving for x=0 would also be 0.