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Question

x3 cos x2 dx

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Solution

x3 cosx2 dx Let x2=t 2x=dtdxdx=dt2x= 12t cost dtTaking t as the first function and cos t as the second function .= 12tsint-sint dt= 12tsint+cost ...(1) Substituting the value of t in eq (1) = x2sinx22+cosx22+c

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