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

`int tan^-1(sqrt((1-x)/(1+x)) dx`

A

`(1)/(2)(xcos^(-1)x-sqrt(1-x^(2)))+C`

B

`(1)/(2)(xcos^(-1)x+sqrt(1-x^(2)))+C`

C

`(1)/(2)(xsin^(-1)x-sqrt(1-x^(2)))+C`

D

`(1)/(2)(xsin^(-1)x+sqrt(1-x^(2)))+C`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    AAKASH INSTITUTE|Exercise Objective Type Questions (Only one answer)|64 Videos
  • INTEGRALS

    AAKASH INSTITUTE|Exercise Objective Type Questions (More than one answer)|29 Videos
  • INTEGRALS

    AAKASH INSTITUTE|Exercise Try yourself|50 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - J)(ANKASH CHALLENGERS QUESTIONS)|4 Videos

Similar Questions

Explore conceptually related problems

int tan^(-1)sqrt(x)dx

int_(0)^(1) sin{2 tan^(-1)sqrt((1+x)/(1-x))}dx=

int sqrt((1-x)/(1+x))dx

int cos(2tan^(-1)sqrt((1-x)/(1+x)))dx" is equal to "" (A) "(1)/(8)(x^(2)-1)+C, " (B) "(x^(2))/(4)+C , " ""(C)" (x)/(2)+C ," "(D) "(x^(2))/(2)+C

Evaluate: int tan^(-1)(sqrt(x))dx

int_(0)^(1)sin(2tan^(-)sqrt((1+x)/(1-x)))dx

IF int_e^1tan^-1xdx=p ,then int_e^1tan^-1((1-x)/(1+x))dx=

If int_(0)^(1) tan^(-1) x dx = p , then the value of int_(0)^(1) tan^(-1)((1-x)/(1 +x)) dx is