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Math Help - Help with Integral please!

  1. #1
    Junior Member Shadow236's Avatar
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    Help with Integral please!

    Can someone please show me how to solve this integral? This problem looks easy, but for some reason is not.



    PS - This is not Homework, it is for personal practice

    Thank you very much.
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  2. #2
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
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    Re: Help with Integral please!

    Quote Originally Posted by Shadow236 View Post
    Can someone please show me how to solve this integral? This problem looks easy, but for some reason is not.



    PS - This is not Homework, it is for personal practice

    Thank you very much.
    This is a u substitution.

    Let u=5s+4 \implies du=5ds \iff ds=\frac{du}{5}

    Putting this into the integral gives

    \int \frac{1}{\sqrt{5s+4}}ds=\int \frac{1}{\sqrt{u}}\frac{du}{5}=\frac{1}{5}\int u^{-\frac{1}{2}}du

    Now just use the power rule for integration and finsh. Post back if you get stuck
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  3. #3
    Junior Member Shadow236's Avatar
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    Re: Help with Integral please!

    I see now. I was able to solve it. Thank you.
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