int(dx)/(x(x^(4)+1)) is equal to...

`int(dx)/(x(x^(4)+1))` is equal to

A

`(1)/(4)log""(x^(4)+1)/(x^(4))+C`

B

`(1)/(4)log""((x^(4))/(x^(4)+1))+C`

C

`(1)/(4)log(x^(4)+1)+C`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:

B

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Knowledge Check

int(dx)/(x(x^(2)+1)) is equal to

A

`log|x|-(1)/(2)log(x^(2)+1)+C`

B

`log|x|+(1)/(2)log(x^(2)+1)+C`

C

`-log|x|+(1)/(2)log(x^(2)+1)+C`

D

`(1)/(2)log|x|+log(x^(2)+1)+C`

int(1)/(x(x^(4)-1))dx is equal to

A

`(1)/(4)log|(x^(4))/(x^(4)-1)|+C`

B

`(1)/(4)log|(x^(4)-1)/(x^(4))|+C`

C

`log|(x^(4)-1)/(x^(4))|+C`

D

`log|(x^(4))/(x^(4)-1)|+C`

int (dx)/(x(x^7+1)) is equal to

A

`log (x^7/(x^7+1))+C`

B

`1/7 "log"(x^7/(x^7+1))+C`

C

`log ((x^7+1)/x^7)+C`

D

`1/7 "log"((x^7+1)/x^7)+C`

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