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

`int\ ((x-1)^2)/((x^2+1)^2)dx=tan^(- 1)x+g(x)+c` then `g(x)=`

A

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

B

`(1)/(x^(2)+1)`

C

`(1)/(2(x^(2)+1))`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLE ( LEVEL 2 (SINGLE CORRECT ANSWER TYPE QUESTION ))|23 Videos
  • INDEFINITE INTEGRATION

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLE ( NUMERICAL ANSWER TYPE QUESTION )|16 Videos
  • INDEFINITE INTEGRATION

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos
  • HYPERBOLA

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|8 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS |3 Videos

Similar Questions

Explore conceptually related problems

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

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

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

int(x tan^(-1)x^(2))/(1+x^(4))dx

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

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

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

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

" 1.If "int(1)/((x^(2)+1)(x^(2)+4))dx=G tan^(-1)x+H tan^(-1)((x)/(2))+C,C in A." Then "G=.......,H=...?