Integral of sin(cos(x))

Question

Shalini 2012-4-25

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评论： Yasmany Fernandez 2019-1-28

Hi. I was trying to find the integral of sin(cos(x)) using matlab but it gives me this message 'Explicit integral could not be found'. Can anybody help me how to find this integral?

syntax:

syms x
int(sin(cos(x)), x)

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Yasmany Fernandez 2019-1-28

It is very simple dear friend, there is no primitive for that integral, instead you can use development in series of taylor or numerical integration methods

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Answer 1

Kye Taylor 2012-4-25

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Ultimately, are you trying to compute a definite integral? If there are limits, you may be able to use Bessel functions to evaluate it. Check out http://en.wikipedia.org/wiki/Bessel_function#Bessel.27s_integrals Or, if the limits of the intergral are functions themselves, there may still be hope with an integral transform.