Dangerous tangent

Calculus Level 3

From creators of: $\int \sqrt{\tan(x)} \,dx$

come now:

NOTE:

$\tan^{-1}(x) \neq \frac{1}{\tan(x)}$

[ $^{-1}$ ] represents an inverse function

Its antiderivative is the same function.

ln((\tan^{-1}(x))^4) + e^{\sec(x)} +C

Its antiderivative is not expressed in terms of elementary function.

ln(\sin(x)) + C

1 solution

Francisco López
Dec 2, 2018