# Integration help

XtremePhysX

find

## Homework Equations

$$\int log\sqrt{1+x^2}dx$$

## The Attempt at a Solution

I honestly don't know what to do?

Homework Helper
I would use a hyperbolic function to make a substitution to get rid of the square root.

XtremePhysX
I don't know how to do that?

Homework Helper
$$x = \sinh t$$ would be the obvious candidate.

XtremePhysX
So is that a substitution?

XtremePhysX
the answer is xlnx-x+c is that right?

Homework Helper
You'll have to make the calculations on your own. I just gave you a point to start from, assuming you have knowledge of hyperbolic functions. Another option is to use integration by parts.

Millennial
Yes, hyperbolic substitution would work here.

XtremePhysX
Yes, hyperbolic substitution would work here.

Hello mill