# Integration help

1. Aug 11, 2012

### XtremePhysX

1. The problem statement, all variables and given/known data

find

2. Relevant equations

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

3. The attempt at a solution

I honestly don't know what to do?

2. Aug 11, 2012

### dextercioby

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

3. Aug 11, 2012

### XtremePhysX

I don't know how to do that?

4. Aug 11, 2012

### dextercioby

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

5. Aug 11, 2012

### XtremePhysX

So is that a substitution?

6. Aug 11, 2012

### XtremePhysX

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

7. Aug 11, 2012

### dextercioby

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.

8. Aug 11, 2012

### Millennial

Yes, hyperbolic substitution would work here.

9. Aug 11, 2012

Hello mill