1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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


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

  2. jcsd
  3. Jul 26, 2016 #2


    User Avatar
    2017 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


    User Avatar
    2017 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. :)
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted