# How do you find the antiderivative of 3t^2+1?

Apr 17, 2018

${t}^{3} + t + c$

#### Explanation:

$\text{integrate each term using the "color(blue)"power rule}$

•int(ax^n)=a/(n+1)x^(n+1);n!=-1

$\Rightarrow \int \left(3 {t}^{2} + 1\right) \mathrm{dt}$

$= \frac{3}{3} {t}^{3} + t + c = {t}^{3} + t + c$

$\text{where c is the constant of integration}$