# integrating x to the power sin(x)

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• Apr 1st 2008, 01:01 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.

Thanks in advance.
• Apr 1st 2008, 01:14 PM
confusedguy22
Please tell me if it cannot be integrated and if possible WHY????
• Apr 1st 2008, 01:19 PM
janvdl
Quote:

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

Please do not "bump" your post. Someone who is able to answer your question will be along shortly to assist you.

See the forum rules here.
• Apr 1st 2008, 01:26 PM
Krizalid
Replace the 3 by $\displaystyle e.$ The question is similar to integrate $\displaystyle e^{\sin x}$ which can't be integrated.
• Apr 1st 2008, 01:29 PM
confusedguy22
Thanks. But can you explain to me why "special e"^sin(x) can't be integrated?