# Math Help - Integral properties

1. ## Integral properties

Thank you so much for your help!

2. Originally Posted by aquaglass88
Hi I am trying to evaluate the integral of

Integral of [(d/dx)(e ^ (tan^-1 (x)))dx]

I am aware that there is some trick involved or just using an integral property however I have no idea how to solve this.

Thank you so much for your help!
Integration and differentiation are inverse operations. That means they undo each other.

So if you differentiate f(x) and then integrate the result, you get back f(x). Plus an arbitrary constant C of integration.

In your case, $f(x) = e^{\tan^{-1} (x)}$ ......