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

Tags:
1. Jul 26, 2016

### Alexstrasza

1. The problem statement, all variables and given/known data

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!

2. Relevant equations

I am in Calc II.

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

3. The attempt at a solution

Above.

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

Thanks!

2. Jul 26, 2016

### Staff: Mentor

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

3. Jul 26, 2016

### Alexstrasza

Thank you!!!!

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

4. Jul 26, 2016

### Staff: Mentor

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

5. Jul 27, 2016

### Alexstrasza

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