1. ## 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.

2. Originally Posted by virtuoso735
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 $\displaystyle n?$ If so, use $\displaystyle u$-substitution. Let $\displaystyle u=n+4\Rightarrow du=dn.$ Then we have

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

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

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

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

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