I'm currently working on these two problems, and I'm getting really confused with them. Can someone walk me through them?

Find the Maclaurin Series for $f(x)=\cos\left(\sqrt x\right)$ and use it to evaluate $\int\cos\left(\sqrt x\right)\mathrm dx$ as a series.

Find the Taylor Series for $f(x)=\ln(2-x)$ about $x=-1$.