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Math Help - Only one more question to do and it is making me crazy!!!!

  1. #1
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    Only one more question to do and it is making me crazy!!!!

    I need to integrate the following. I can use tables, if needed. My brain is melting and I am just going in all the wrong directions. I would really appreciate any help and thank you in advance.

    x^2 * sqrt(5x-3)

    I am not sure that worked correctly- in English, the problem is integrate x^2(square root of 5x-3)
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  2. #2
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    Quote Originally Posted by mathatlast View Post
    I need to integrate the following. I can use tables, if needed. My brain is melting and I am just going in all the wrong directions. I would really appreciate any help and thank you in advance.

    x^2 * sqrt(5x-3)

    I am not sure that worked correctly- in English, the problem is integrate x^2(square root of 5x-3)
    Substitute u = 5x - 3 \Rightarrow x = \frac{u + 3}{5} \Rightarrow x^2 = ..... and dx = ..... .

    Now expand, integrate and then back-substitute u = 5x - 3.
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