Question

Integrate the following function with respect to x

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

• A. $\frac{5x^3}{3}-\frac{3x^3}{2}-2x+c$
• B. $\frac{5x^3}{3}+\frac{3x^2}{2}-2x+c$
• C. $\frac{5x^3}{3}-\frac{3x^2}{2}+2x-c$
• D. $\frac{5x^3}{3}+\frac{3x^3}{2}+2x+c$

Answer 1

The correct option is B $\frac{5x^3}{3}+\frac{3x^2}{2}-2x+c$

$\int (5x^2+3x-2)dx=5\int x^{2}dx+3\int xdx-2\int dx$
$=\frac{5x^3}{3}+\frac{3x^2}{2}-2x+c$