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Homework Help: Challenging Indefinite Integral e^arccos x

  1. Apr 15, 2010 #1
    1. The problem statement, all variables and given/known data


    Image of the question is attached.

    2. Relevant equations

    3. The attempt at a solution

    I think i took the right first step for substitution:


    Substituting u into the equation:

    This is where I'm stuck.
    I tried all of the following second substitutions, but they either took me in circles or didn't replace all the u variables, or took me back to square one:


    I am doing this for a Calculus project using the Maple 11 program. It seems to be able to integrate the problem just fine, but I can't figure it out.
    A .bmp image is attached if you are unsure of what I have typed for the question.

    Attached Files:

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  2. jcsd
  3. Apr 15, 2010 #2


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    Homework Helper

    d/dx(arcosx) is not what you have. Recheck that.

    EDIT: nvm that.

    Last edited: Apr 15, 2010
  4. Apr 15, 2010 #3
    cos^2(u) + sin^2(u) = .....
  5. Apr 15, 2010 #4
    Wow. I would say I can't believe how simple the question truly was, but trigonometric identities always get me. Thanks for pointing that out to me. I appreciate the help.
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