Question

Find the following integral: $\int (2x^2-3sinx+5\sqrt x)dx$

Answer 1

$\int (2x^2-3sinx+5\sqrt x)dx$

= $2 \int x^2dx-3 \int \sin xdx+5 \int x^{\frac{1}{2}}dx$

= $\frac{2x^3}{3}-3(- \cos x)+5 \bigg(\frac{x^{\frac{3}{2}}}{\frac{3}{2}}\bigg)+C$

=$\frac{2}{3}x^3+3\cos x+ \frac{10}{3}x^{\frac{3}{2}}+C$