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

B

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

C

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

D

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

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The correct Answer is:

A

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