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

  1. Jul 26, 2016 #1
    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. jcsd
  3. Jul 26, 2016 #2

    mfb

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    2016 Award

    Staff: Mentor

    Hint: x2 is the derivative of 1-x3 (up to a prefactor).
     
  4. Jul 26, 2016 #3
    Thank you!!!!

    I solved it and got 0 for an answer, is that possible?
     
  5. Jul 26, 2016 #4

    mfb

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    2016 Award

    Staff: Mentor

    ##\sqrt{1-x^3}## is positive everywhere, can the result be 0?
     
  6. Jul 27, 2016 #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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