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Math Help - Simple integration

  1. #1
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    Simple integration

    Ok people, i am very newbie in integration s.

    I solved this one, but i dont know if i solved it correctly.

    Can u give a look plz.
    Attached Thumbnails Attached Thumbnails Simple integration-integral1.png  
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  2. #2
    MHF Contributor alexmahone's Avatar
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    Re: Simple integration

    That's right. (You can check your answers here.)
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  3. #3
    MHF Contributor Siron's Avatar
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    Re: Simple integration

    It's correct! But I would just write:
    \int \frac{\sqrt{1+3\ln(x)}}{x}dx
    Let \1+3\ln(x)=t \Rightarrow \frac{3dx}{x}=dt \Rightarrow \frac{dx}{x}=\frac{dt}{3}
    So the integral becomes:
    \frac{1}{3}\int \sqrt{t}dt= \frac{2(1+3\ln(x))^{\frac{3}{2}}}{9}+C

    (Don't forget the integration constant)
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  4. #4
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    Re: Simple integration

    Thanks, and thanks for the link!
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