Question

$\int x+2\sqrt{3x+5}dx$

Answer 1

$\int x+2\sqrt{3x+5}dx$

$\Rightarrow \int xdx+2\int (3x+5{)}^{1/2}dx$

$\Rightarrow \frac{x^2}{2}+2\frac{2(3x+5{)}^{3/2}}{3.3}+c$

$=\frac{x^2}{2}+\frac{4}{9}(3x+5{)}^{3/2}+c$