Below I’m going to demonstrate how to integrate y=arctanx…

Firstly, we need to know that:

We also need to know that:

And finally:

Now, using implicit differentiation:

Below I’m going to demonstrate how to integrate y=arctanx…

Firstly, we need to know that:

We also need to know that:

And finally:

Now, using implicit differentiation:

In this video, Patrick JMT demonstrated how to do logarithmic differentiation.

Now I’m going to show you how I’d solve the same problem…

Firstly we must know that:

Now: