Is-it-possible-to-integrate-the-following-sin-cos-d-

Question Number 2176 by Filup last updated on 06/Nov/15

Is it possible to integrate the following :

\int \sin (\cos θ) d θ

Commented by 123456 last updated on 07/Nov/15

i dont know if it help but

\sin x = \underset{n = 0}{\sum^{+ \infty}} {(- 1)}^{n} \frac{x^{2 n + 1}}{(2 n + 1)!} = x - \frac{x^{3}}{6} + \cdot \cdot \cdot

\cos x = \underset{n = 0}{\sum^{+ \infty}} {(- 1)}^{n} \frac{x^{2 n}}{(2 n)!} = 1 - \frac{x^{2}}{2} + \cdot \cdot \cdot

Answered by prakash jain last updated on 07/Nov/15

y o u c a n d o a s e r i e s e x p a n s i o n o f \sin (\cos θ)

and integrate .

Integral cannot be expressed in terms of

elementry functions alone .

Commented by Filup last updated on 07/Nov/15

That makes sense . I {wasn}^{'} t sure how it was

done . Thank you

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