Question

∫ (12x^2+2x)dx

Answer 1

Solution. Find the integral

$$\intop (12x^2+2x)dx=4x^3+x^2+C$$

where C is constant. One used the antiderivative of the power function

$$\intop x^ndx=\frac{x^{n+1}}{n+1}+C$$

where C is constant.

Answer.

$$\intop (12x^2+2x)dx=4x^3+x^2+C$$