# Count the following integral

1. Oct 8, 2008

I'm finding the arch length of a curve:
$$\int_0^b \sqrt{1+sh^2(x/a)} dx$$
How do i integrate this function?

Last edited: Oct 8, 2008
2. Oct 8, 2008

### CompuChip

What do you mean by "count"?
What is "sh"?
If it is the hyperbolic sine: cosh^2 - sinh^2 = 1.

3. Oct 8, 2008

### klondike

I think he meant "evaluate".

4. Oct 8, 2008

The derivative of sinh is cosh and the derivative of cosh is sinh

5. Oct 8, 2008

It's a pity I can't edit the topic.

6. Oct 8, 2008

### CompuChip

Exactly. Does this mean you have solved the problem?

7. Oct 8, 2008