Question

Find the integral of $\int (2x^2-3\sin x+5\sqrt{x})dx$

Answer 1

$\int (2x^2-3\sin x+5\sqrt{x})dx$
$=2\int x^{2}dx-3\int \sin xdx+5\int x^{\frac{1}{2}}dx$
$=\frac{2x^3}{3}-3(-\cos x)+5\left(\frac{x^{\frac{3}{2}}}{\frac{3}{2}}\right)+C$
$=\frac{2}{3}{x}^3+3\cos x+\frac{10}{3}{x}^{\frac{3}{2}}+C$