Home
Class 12
MATHS
int(cos(tan^(-1)x)+sin(tan^(-1)x))/(1+x^...

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION - INDEFINITE INTEGRALS

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

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|45 Videos
  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|45 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)tan^(-1)x)/(1+x^(2))dx

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

int(tan(cos^(-1)x)+cot(sin^(-1)x))/(sqrt(1-x^(2)))dx=

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

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

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

(i) int(1)/(sqrt(1-x^(2)).cos^(-1) x)dx (ii) int (sin(tan^(-1)x))/(1+x^(2))dx

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

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