How do you find the integral of $-(x+1)sin(x^2/2)$ ?

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Answer 1 · 2015-09-12T12:16:33

I don't believe that this can be found using elementary techniques.

WolframAlpha gives:

$cos(x^2/2)-sqrtpi S(x/sqrtpi) +C$

where $S(x)$ is the Fresnel S integral.

How do you find the integral of -(x+1)sin(x^2/2)-(x+1)sin(x^2/2)?