Integrating sin(x)^x

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Trexler3241

How do you integrate sin(x)^x?

Trexler3241

Sin x = (ie^(-ix)-ie^(ix))/2

 

Prometheus_Fuschs
I bet it is one of those that can’t be integrated since x^x cannot be integrated, maybe you can make a Taylor Series and integrate that.
Prometheus_Fuschs

https://www.wolframalpha.com/input/?i=integral+of+(sin(x))%5Ex

 

Yep, there is a Taylor Series for this integral but no explicit form.