integral of c sin &#x2061;<!-- ⁡ --> ( x )

Jorge Lawson

Jorge Lawson

Answered question

2022-05-20

integral of c sin ( x ) sin 2 ( x ) c 2

Answer & Explanation

Ada Harrington

Ada Harrington

Beginner2022-05-21Added 12 answers

Okay, I think I got it: First, rewrite the integrand as
1 sin x sin 2 x c 2 = sin x sin 2 x sin 2 x c 2 = cos x ( 1 cos 2 x ) 1 cos 2 x c 2   ,
then, after doing the obvious trigonometric substitution t = cos x ,  , let a 2 = 1 c 2 ,  , and
t = a u .   Then another obvious trigonometric substitution, followed by Weierstrass and
some partial fraction decomposition, then you're done

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