New posts in Inverse Function

Inverse of a exponential function

Derivative of Integral With Limits

Prove that $\tan^{-1}\frac{\sqrt{1+x^2}+\sqrt{1-x^2}}{\sqrt{1+x^2}-\sqrt{1-x^2}}=\frac{\pi}{4}+\frac 12 \cos^{-1}x^2$

Prove inequality $\tan(x) \arctan(x) \geqslant x^2$

If $\int f(x)dx =g(x)$ then $\int f^{-1}(x)dx $ is equal to

Show the $\arcsin$ identity: $ \arcsin(1 - 2x) + 2\arcsin(\sqrt{x}) = \pi / 2$

Proving $ 4\operatorname{arccot}(2)+\arctan\left(\frac{24}7\right)=\pi $. What am I doing wrong?

Inverting a function: proof of $W(x) = \ln\frac{x}{\ln\frac{x}{\ddots}}$

Why do we need an invertible function to use $u$-substitution?

Solve functional equation $ h(y)+h^{-1}(y)=2y+y^2 $