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

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS(PART - B : Mastering The BEST)|327 Videos

  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (PREVIOUS YEARS MHT-CET EXAM QUESTIONS)|13 Videos

  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

  • LINE IN SPACE

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|44 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

integrate int(2x+2)/(x^(2)+2x)dx

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

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

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