Question

$\int (x^{\frac{3}{2}}+{2e}^x-\frac{1}{x})dx$

Answer 1

$\int \left(x^{\frac{3}{2}}+2e^x\frac{1}{x}\right)dx$

$=\int x^{\frac{3}{2}}dx+2\int e^{x}dx-\int \frac{1}{x}dx$

$=\frac{2}{5}{x}^{\frac{5}{2}}+2e^x-\log \left|x\right|+c$