# Count the following integral

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:

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

I think he meant "evaluate".
What do you mean by "count"?

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

I think he meant "evaluate".
It's a pity I can't edit the topic.

CompuChip
Homework Helper
The derivative of sinh is cosh and the derivative of cosh is sinh
Exactly. Does this mean you have solved the problem?

Does this mean you have solved the problem?
Next step was to use the equation CC gave me.
Thank you, guys.