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int(x^(9))/((4x^(2)+1)^(6))dx=...

`int(x^(9))/((4x^(2)+1)^(6))dx=`

A

`(1)/(5x)(4 + (1)/(x^(2)))^(-5)`

B

`(1)/(5)(4 + (1)/(x^(2)))^(-5)`

C

`(1)/(10x) (1+4)^(-5) + C`

D

`(1)/(10)((1)/(x^(2)) + 4)^(-5) + C`

Text Solution

Verified by Experts

The correct Answer is:
D
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