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Math Help - Finding two integrals

  1. #1
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    Finding two integrals

    Hello. I am having trouble with four problems from my homework.
    I don't know why but the answers I get seem wrong and I am not quite sure what I am doing. (although happily i think I completed the rest with no problems yay! just these four are killing me!)
    I also am in a situation where I can't spend too much time online so any help is appreciated!

    I guess I can start with two questions.



    I need to make a substitution and then evaluate the integral but i think i am doing the substitution part incorrectly.

    and




    thank you!
    Last edited by mr fantastic; March 27th 2010 at 03:43 PM. Reason: Changed post title
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  2. #2
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    Quote Originally Posted by curimath View Post
    Hello. I am having trouble with four problems from my homework.

    I don't know why but the answers I get seem wrong and I am not quite sure what I am doing. (although happily i think I completed the rest with no problems yay! just these four are killing me!)
    I also am in a situation where I can't spend too much time online so any help is appreciated!

    I guess I can start with two questions.


    I need to make a substitution and then evaluate the integral but i think i am doing the substitution part incorrectly.

    and



    thank you!
    1) Substitute u = \sqrt{x} \Rightarrow u^2 = x and you get a standard form.

    2) Substitute u = \sin x and the problem essentially reduces to finding \int \cos^3 u \, du which you should know how to do.
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  3. #3
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    thank you!

    helped me a lot! :)
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