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Question

Integrate the following functions.
x21x6dx.

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Solution

x21x6dx
Let I=x21x6dx=x21(x3)2dx
Let x3=t3x2=dtdxdx=dt3x2
I=x21t2dt3x2=13dt1t2=13.12log1+t1t+C[dxa2x2=12aloga+xax]=16log1+x31x3+C(t=x3)


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