## anonymous 4 years ago Can you solve ((e^y+e^(-y))/2)*((e^y+e^(-y))/2)

1. anonymous

Solve what? This is just an expression, do you want to simplify it or find its zeros?

2. anonymous

I think you want to simplify it. Actually the given expression doesn't have any zeros.

3. anonymous

I have to integrate it from 0- ln(2). I didn't know if you could simplify the expression.

4. anonymous

0 to ln(2) I should say.

5. anonymous

The given expression is equal to $$\cosh^2(x)$$.

6. anonymous

With h standing for..?

7. anonymous

Oh you don't know the hyperbolic cosine function. It's better that you read about it. http://en.wikipedia.org/wiki/Hyperbolic_function

8. anonymous

You still can solve it without knowing that though. $\int\limits ({e^y+e^{-y} \over 2})^2 dy=\int \frac{1}{4}(e^{2y}+e^{-2y}+2)dy=\cdots$