Home
Class 12
MATHS
If int (x^(2)-x+1)/(x^(2)+1)e^(cot^(-1)x...

If `int (x^(2)-x+1)/(x^(2)+1)e^(cot^(-1)x)dx=A(x)e^(cot^(-1)x)+c`, then A(x) is equal to :

A

`-x`

B

x

C

`sqrt(1-x)`

D

`sqrt(1+x)`

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Similar Questions

Explore conceptually related problems

int Cot^(-1)x dx=

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

int (x e^(x))/((x+1)^(2))=dx

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

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

int e^(x){(1-x)/(1+x^(2))}^2dx=

int (3-x^(2))/(1-2x+x^(2))e^(x)dx=e^(x)f(x)+c rArr f(x)=

If cot^(-1)((1+x)/(1-x))=1/2cot^(-1)(1/x) then x=

int(x+1)^(2)e^(x)dx=