Question

Evaluate:

$\int 5x+3\sqrt{2x-1}dx$

Answer 1

$\int 5x+3\sqrt{2x-1}dx$

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

$\Rightarrow \frac{5x^2}{2}+\frac{3.2(2x-1{)}^{3/2}}{3.2}+c$

$\Rightarrow \frac{5n^2}{2}+\frac{6(2x-1{)}^{3/2}}{6}+c$

$\Rightarrow \frac{5x^2}{2}+(2x-1{)}^{3/2}+c$