Home
Class 12
MATHS
If I=int(0)^(1)cos(2Cot^(-1)""(sqrt (1-x...

If `I=int_(0)^(1)cos(2Cot^(-1)""(sqrt (1-x)/(1+x)))dx` then

A

`pi/2`

B

`- pi/2`

C

`1/2`

D

`- 1/2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Examples|8 Videos
  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise - 2.1 (Level-1)|6 Videos
  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE - II|156 Videos
  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos
  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

Similar Questions

Explore conceptually related problems

Show that int_(0)^(pi)cos (2 cot^(-1) (sqrt((1-x)/(1+x))))dx = -(1)/(2)

int_(0)^(1)sqrt((1-x)/(1+x))dx=

int_(0)^(1) sin^(-1) sqrt(x)dx=

int_(0)^(1)(xSin^(-1)x)/(sqrt(1-x^(2)))dx=

int_(0)^(1) cot^(-1) (1-x+x^(2))dx=

int_(0)^(1) (x^(6))/(sqrt(1-x^(2)))dx=

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