Thread: 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.

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

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.

Replace the 3 by The question is similar to integrate which can't be integrated.

Thanks. But can you explain to me why "special e"^sin(x) can't be integrated?