How Do You Solve ∫sin(sin(x))dx?

[CalculusManiac]

This is a forum where we chat about calculus problems that people are wondering about. I would greatly appreciate it if people also help answer some integration problems that have been nagging me for a while. Like ∫sin(sin(x))dx. Thanks Guys.

 

[R136a1]

That integral cannot be evaluated with the standard elementary functions. And this can be proven.

http://www.wolframalpha.com/input/?i=integral+sin(sin(x))+dx

 

[CalculusManiac]

I know that, but is there any way we can evaluate it as an infinite sum? Thanks for your help.

 

[CalculusManiac]

At the bottom of this page it says that ∫sin(sin(x))dx can be represented as an infinite sum.

http://reference.wolfram.com/legacy...dMathematicsInMathematica/Calculus/3.5.7.html