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

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

A

(a) `1/sqrt(2)tan^(-1)((x^(4)+x^(2)+1)/sqrt(2))+c`

B

(b) `((x^(2)+1)/3)logabs(x^(4)+x^(2)+1)+c`

C

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

D

(d) `tan^(-1)(x)logabs((x^(4)+1)/(x^(2)))+c`

Text Solution

Verified by Experts

The correct Answer is:

C

Promotional Banner

Promotional Banner

Recommended Questions

int(x dx)/(x^4+x^2+1)=
Text Solution
|
int(x^2+1)/(x^4+x^2+1)dx
Text Solution
|
int(x^(2))/(1-x^(4))dx
Text Solution
|
int(x^2-1)/(x^4-x^2+1)dx
Text Solution
|
int(x^(4))/(1+x^(2))dx
Text Solution
|
int(dx)/(x^(4)+x^(2)+1)
Text Solution
|
int(x^4+1)/(x(x^2+1)^2)dx
Text Solution
|
int\ (x^2)/(x^4-1)\ dx
Text Solution
|
int(x^(2)+1)/(x^(4)-x^(2)+1)dx= . . .
Text Solution
|