Home
Class 12
MATHS
int dx/(1+x+x^2+x^3) dx=...

`int dx/(1+x+x^2+x^3) dx=`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

int (2x) / (x ^ (3) -1) dx

int (x^2-1)(x^3-3x)^2 dx

int(1)/(x^(2)-x^(3))dx=

int ((x^2)/(1-x^(3)))dx

int x(x^(2)+1)^(3)dx

(i) int (3x^2)/(x^6+1) dx (ii) int (3x)/(1+2x^4) dx

int x^3/(2x+1) dx

int (dx)/((x+1)(2x+1)) (ii) int (x-1)/((x-2)(x-3)) dx .

(i) int (x dx)/(x^3+x^2+x+1) (ii) int (dx)/(x^3+x^2+x+1)

int(3x)/(1+x^(2))dx