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 $\displaystyle u=5s+4 \implies du=5ds \iff ds=\frac{du}{5}$
Putting this into the integral gives
$\displaystyle \int \frac{1}{\sqrt{5s+4}}ds=\int \frac{1}{\sqrt{u}}\frac{du}{5}=\frac{1}{5}\int u^{-\frac{1}{2}}du$
Now just use the power rule for integration and finsh. Post back if you get stuck