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Question

Solve x5x2+9dx

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Solution

x5x2+9dx


Put x2+9=t


2xdx=dt


=12(t9)2tdt


12(t+81t18)dt


=t24+81logt9t+c


=(x2+9)24+81log(x2+9)9(x2+9)tc


=x449x24+81log(x2+9)tc


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