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    Simple integral

    I haven't done an integral problem for so long that I'm stuck on a really simple problem. I know I can just plug it into an integrator but I want to know how to do it. It seems really simple but I can't think of it. Can someone guide me the process?

    Integral of 1/[sqrt(n+4)]

    Thanks.
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    Quote Originally Posted by virtuoso735 View Post
    I haven't done an integral problem for so long that I'm stuck on a really simple problem. I know I can just plug it into an integrator but I want to know how to do it. It seems really simple but I can't think of it. Can someone guide me the process?

    Integral of 1/[sqrt(n+4)]

    Thanks.
    Are you integrating with respect to n? If so, use u-substitution. Let u=n+4\Rightarrow du=dn. Then we have

    \int\frac{dn}{\sqrt{n+4}}

    =\int\frac{du}{\sqrt{u}}

    =\int\frac{du}{u^{1/2}}

    =\int u^{-1/2}\,du

    Can you finish? Be sure to back-substitute for u after you integrate.
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