Calculus Examples

$f (x) = \int_{x}^{x^{2}} t^{2} d t$

Step 1

Differentiate using the function rule which states that the derivative of $f (x)$ is $\frac{d f}{d x}$ .

$\frac{d f}{d x}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$