# integrating x to the power sin(x)

• Apr 1st 2008, 02:01 PM
confusedguy22
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.

• Apr 1st 2008, 02:14 PM
confusedguy22
Please tell me if it cannot be integrated and if possible WHY????
• Apr 1st 2008, 02:19 PM
janvdl
Quote:

Originally Posted by confusedguy22
Please tell me if it cannot be integrated and if possible WHY????

Replace the 3 by $e.$ The question is similar to integrate $e^{\sin x}$ which can't be integrated.