Home
Class 12
MATHS
inte^(tan^- 1x)[(1+x+x^2)/(1+x^2)]dx...

`inte^(tan^- 1x)[(1+x+x^2)/(1+x^2)]dx`

A

`(e tan^(-1)x)/(1+x^(2))+C`

B

`(xe ^(tan^(-1))x)/(1+x^2)+C`

C

`xe^(tan^(-1))x+C`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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 e^(tan^(-1)x)[(1+x+x^(2))/(1+x^(2))]dx

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

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

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

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

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

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

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