# Thread: integrating x to the power sin(x)

1. ## integrating x to the power sin(x)

Hi
I am doing an investigative piece of homework and I need to know if the following equation can be integrated analytically i.e. algebraically

3^sin(x^cos(x))

That reads "3 to the power of sin(x to the power cos(x))"

If it can be somehow integrated can you try to explain how (bearing in mind that I am only at college) or possibly direct me to some websites that will explain it to me.

2. Please tell me if it cannot be integrated and if possible WHY????

3. Originally Posted by confusedguy22
Please tell me if it cannot be integrated and if possible WHY????
4. Replace the 3 by $e.$ The question is similar to integrate $e^{\sin x}$ which can't be integrated.