Home
Class 12
MATHS
int(0)^((pi)/(2))(dx)/(1+sqrt(tanx)) is ...

`int_(0)^((pi)/(2))(dx)/(1+sqrt(tanx))` is :

A

`(pi)/(2)`

B

`(pi)/(4)`

C

`pi`

D

`0`.

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF INTEGRATION

    PREMIERS PUBLISHERS|Exercise Answer the following questions.|18 Videos

  • APPLICATIONS OF INTEGRATION

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISES 9.10|20 Videos

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    PREMIERS PUBLISHERS|Exercise Problems For Practice (Answer the following question)|39 Videos

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (II. Answer the following)|15 Videos

Similar Questions

Explore conceptually related problems

The value of int_(0)^((pi)/(2)) (dx)/( 1+ tan x) is

Evaluate int_0^((pi)/(2))(dx)/(1+sqrt(tanx))

Statement I: The value of the integral int_(pi//6)^(pi//3) (dx)/(1+sqrt(tanx)) is equal to (pi)/6 . Statement II: int_(a)^(b)f(x)dx=int_(a)^(b)f(a+b-x)dx

Provethat int_(0)^((pi)/(2))(dx)/(1+tanx)=(pi)/(4)

The value of int_(0)^(pi//2)(dx)/(1+tan^(3)x) is

Evaluate int_(0)^((pi)/(2)) (sqrt(cotx))/( sqrt(cot x ) + sqrt( tan x )) dx

The value of int_(0)^(pi) (dx)/(1+5^(cosx)) is :

The value of int_(0)^((pi)/(4))sqrt(1-sin2x)dx is

Evaluate int_(0)^((pi)/(2))sqrt(1+sin 2x) dx .

Show that int_(0)^(pi) g (sinx)dx=2 int_(0)^((pi)/(2))g(sin)dx , where g(sinx) is a function of sinx .