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

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

A

`cot^(-1)x-(1)/(x^2+1)+c`

B

`cot^(-1)x+(1)/(x^2+1)+c`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    NIKITA PUBLICATION|Exercise MCQ|559 Videos

  • LINE

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|127 Videos

Similar Questions

Explore conceptually related problems

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

(1). int e^(x)((2-x)/((1-x)^(2)))dx (2). int e^(x)((x-1)^2/((x^2+1)^(2)))dx

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

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

Evaluate: inte^x(1-x)^2/(1+x^2)^2dx

Evaluate: int(e^x(1-x)^2)/(1+x^2)^2dx

Evaluate the following integral: int_0^1(1-x^2)/((1+x^2)^2)dx

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

int_0^1(x^2-2)/(x^2+1)dx=?

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