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int(2x^(12)+5x^(9))/((x^(5)+x^(3)+1)^(3)...

`int(2x^(12)+5x^(9))/((x^(5)+x^(3)+1)^(3))dx=(x^(p))/(q(x^(5)+x^(3)+1)^(r))+c`, then `p-q-r`=

A

`x^(8)/)(1+x^(3)+x^(5))^(2)+c`

B

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

C

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

D

`x^(8)/(2(1+x^(3)+x^(5))^(2))+c`

Text Solution

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The correct Answer is:
C
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