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Evaluate: int(x^3)/((x-1)(x-2))dx...

Evaluate: `int(x^3)/((x-1)(x-2))dx`

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The correct Answer is:
D
Since, product of n positive numbers is unity
`rArr x_(1).x_(2).x_(3) ....x_(n) = 1`..(i)
Using `AM ge GM, (x_(1) + x_(2) + ...+ x_(n))/(n) ge (x_(1).x_(2) ...x_(n))^(1//n)`
`rArr x_(1) + x_(2) + ...+ x_(n) ge n (1)^(1//n)` [from Eq. (i)]
Hence, sum of n positive numbers is never less than n.
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