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Find $\int t \cos(t^2) \ dt$.

A

$-\frac{1}{2} \sin(t^2) + C$

B

$-\frac{1}{2} \cos(t^2) + C$

C

$\frac{1}{2}\sin(t^2) + C$

D

$\frac{1}{2} \cos(t^2) + C$

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