Calculus Examples

$\int_{x}^{4} \sin (t^{4}) d t$

Step 1

Swap the bounds of integration.

$\frac{d}{d x} [- \int_{4}^{x} \sin (t^{4}) d t]$

Step 2

Take the derivative of $- \int_{4}^{x} \sin (t^{4}) d t$ with respect to $x$ using Fundamental Theorem of Calculus.

$- \sin (x^{4})$