Calculus Examples

$\int - \frac{e^{4 x}}{1 + 4 e^{- x}} d x$

Step 1

$\int - \frac{e^{4 x}}{1 + 4 e^{- x}} d x$ is an antiderivative of $- \frac{e^{4 x}}{1 + 4 e^{- x}}$ , so by definition $\frac{d}{d x} [\int - \frac{e^{4 x}}{1 + 4 e^{- x}} d x]$ is $- \frac{e^{4 x}}{1 + 4 e^{- x}}$ .

$- \frac{e^{4 x}}{1 + 4 e^{- x}}$