Question

como resolver int (e^x/2+x raiz x)dx

Answer 1

$\int(\frac{e^x}{2}+x\sqrt{x})dx\\ \\ \int = \int\frac{e^x}{2}dx+\int~x\sqrt{x}dx\\ \\ =\frac{e^x}{2}+\int~x^{\frac{3}{2}}dx\\ \\ =\frac{e^x}{2}+\frac{x^{\frac{3}{2}+1}}{\frac{3}{2}+1}\\ \\ \boxed{\therefore~\int=\frac{e^x}{2}+\frac{2\sqrt{x^5}}{5}}$