Calculus Examples

$\int_{x}^{2} \cos (\sqrt{5 t}) d t$

Step 1

Swap the bounds of integration.

$\frac{d}{d x} [- \int_{2}^{x} \cos (\sqrt{5 t}) d t]$

Step 2

Take the derivative of $- \int_{2}^{x} \cos (\sqrt{5 t}) d t$ with respect to $x$ using Fundamental Theorem of Calculus.

$- \cos (\sqrt{5 x})$