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Integrate (x1x)2 with respect to x....

Integrate (x1x)2 with respect to x.

A.

13(x1x)3+c

B.

x33x1x3+c

C.

x332x+1x3+c

D.

x332x1x+c

Correct answer is D

(x1x)2=x22+1x2

(x2+1x22)dx

= (x2+x22)dx

= x332x1x