Calculus Examples

$\int_{4}^{x} \sqrt{1 + t^{2}} d t$

Step 1

Take the derivative of $\int_{4}^{x} \sqrt{1 + t^{2}} d t$ with respect to $x$ using Fundamental Theorem of Calculus.

$\sqrt{1 + x^{2}}$

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