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int ( sqrt ( 5 + x ^(2)))/( x ^(4)) dx ...

`int ( sqrt ( 5 + x ^(2)))/( x ^(4))` dx is equal to a)`(1)/(15) (1 + (5)/( x ^(2)) ) ^((3)/(2)) ` b)`(-1)/( 15) (1 + ( 1)/( x ^(2))) ^((3)/(2)) +C` c)`(-1)/( 15) (1 + (5)/(x ^(2))) ^((3)/(2))+ C` d)`(1)/(15) (1 + (1)/( x ^(2))) ^((3)/(2)) +C`

A

`(1)/(15) (1 + (5)/( x ^(2)) ) ^((3)/(2)) `

B

`(-1)/( 15) (1 + ( 1)/( x ^(2))) ^((3)/(2)) +C`

C

`(-1)/( 15) (1 + (5)/(x ^(2))) ^((3)/(2))+ C`

D

`(1)/(15) (1 + (1)/( x ^(2))) ^((3)/(2)) +C`

Text Solution

Verified by Experts

The correct Answer is:
C
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