MTH102 Questions and Solutions : Find $$\int x\cos ax^2dx$$ with respect to x

Find $$\int x\cos ax^2dx$$ with respect to x
a) $$\cos^3 x+c$$
b) $$\sin 2x+c$$
c) $$\sec^2 x+1$$
d) $$\frac{1}{2}a\sin ax^2+c$$

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