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

  • #1

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!
 

Answers and Replies

  • #2
34,987
11,172
Hint: x2 is the derivative of 1-x3 (up to a prefactor).
 
  • #3
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?
 
  • #4
34,987
11,172
##\sqrt{1-x^3}## is positive everywhere, can the result be 0?
 
  • Like
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  • #5
Oops, when I solved for x=1 I got 0 and for some reason assumed solving for x=0 would also be 0.

I got 2/9 final answer.

Thank you for helping. :)
 

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