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The integral int(2x^(12)+5x^(9))/((x^(5...

The integral `int(2x^(12)+5x^(9))/((x^(5)+x^(3)+1)^(3))dx` is equal to (where C is a constant of integration)

A

`(-x^(5))/((x^(5)+x^(3)+1)^(2))+C`

B

`(x^(10))/(2(x^(5)+x^(3)+1)^(2))+C`

C

`(x^(5))/(2(x^(5)+x^(3)+1)^(2))+C`

D

`(-x^(10))/(2(x^(5)+x^(3)+1)^(2))+C`

Text Solution

Verified by Experts

The correct Answer is:
B
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