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Math Help - How do you evaluate this integral?

  1. #1
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    How do you evaluate this integral?

    \int{1^2x*5^(2x^(2))}

    thanks
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  2. #2
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    Did you mean:
    \int (1^{2x})(5^{2x^{2}}) dx
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  3. #3
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    Quote Originally Posted by mojo0716 View Post
    \int{1^2x*5^(2x^(2))}

    thanks
    Have you viewed what you've posted .....?

    The current formatting of your question makes it unintelligible.
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  4. #4
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    Quote Originally Posted by Chop Suey View Post
    Did you mean:
    \int (1^{2x})(5^{2x^{2}}) dx
    Sorry, couldn't figure out how to format it.

    it's actually

    int ((1^2*(x))*5^(2x^(2)))

    \int (1^{2}x)(5^{2x^{2}}) dx
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  5. #5
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    Quote Originally Posted by mojo0716 View Post
    Sorry, couldn't figure out how to format it.

    it's actually

    int ((1^2*(x))*5^(2x^(2)))

    \int (1^{2}x)(5^{2x^{2}}) dx[/
    I'm still as much in the dark as ever. Nevertheless, taking it on face value as \int (1^{2}x)(5^{2x^{2}}) dx you should first realise that this is the same as \int (x) (5^{2x^{2}}) dx. Now make the substitution u = 2x^2 and note that 5^u = e^{(\ln 5) u}.
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