Chapter 7.1, Problem 3QCE

Integrate the function.

$\begin{array}{l}\text{(a)}{\displaystyle \int \sqrt{x-1}}dx=\text{\_\_\_\_\_}\\ \text{(b)}{{\displaystyle \int e}}^{2x+1}dx=\text{\_\_\_\_\_}\\ \text{(c)}{\displaystyle \int ({\sin }^{3}x\cos x+\sin x{\cos }^{3}x)}dx=\text{\_\_\_\_\_}\\ \text{(d)}{\displaystyle \int \frac{1}{{(e^x+e^{-x})}^2}}dx=\text{\_\_\_\_\_}\end{array}$