int(x^5+4)/(x^5-x)dx...

`int(x^5+4)/(x^5-x)dx`

Text Solution

Verified by Experts

The correct Answer is:

`x-4log|x|+5/4 log|x-1|+3/4 log|x+1|+log|x^(2)+1|(-1)/(2)tan^(-1)x+c`

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Explore conceptually related problems

int(x^(4))/(1-x^(5))dx

int_(1)^( If )(1)/(x+x^(5))dx=f(x)+c, then evaluate int(x^(4))/(x+x^(5))dx

Knowledge Check

int(x^2)/(x^4+5x^2+6)dx=

A

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

B

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

C

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

D

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

Similar Questions

Explore conceptually related problems

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

The value of: int x^4/(x+x^5)dx is

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

int(dx)/(x^(2)-4x+5)

"int(4x+5)/(x^(2)+x-2)dx

int(4x+5)/(x^(2)+x-2)dx

int(4x+5)/(x^(2)+x-2)dx

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