Question: Integrating cos(sin(theta))

I have a function when expressed in polar coordinates such that a trig function resides inside a trig function.  In calculus 101 we all learned that integrating the product or quotient of 2 or more trig functions requires integration by parts but I have never run across the case where a trig function is a function of another trig function.  Any one have any references I should consult on to learn how to handle this?

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