The value of int0^(pi/2) 2^(sinx)/(2^(si...

The value of `int_0^(pi/2) 2^(sinx)/(2^(sinx)+2^(cosx)) dx` is

A

`pi/2`

B

2

C

`pi`

D

`pi/4`

Text Solution

Verified by Experts

The correct Answer is:

D

Promotional Banner

Promotional Banner

Topper's Solved these Questions

COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES
HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos
DIFFERENTIAL EQUATIONS
HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos

HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK

If int0^(a) f(x) dx = int0^(a) f(a-x) dx, then the value of int0^(pi) ...
Text Solution
|
int0^(pi/2) (asinx+bcosx)/(sinx+cosx) dx =
Text Solution
|
The value of int0^(pi/2) 2^(sinx)/(2^(sinx)+2^(cosx)) dx is
Text Solution
|
Evaluate the integrals by using substitution int(0)^(1)sin^(-1)((2x)...
Text Solution
|
Evaulate int(0)^(pi//4)log(1+tanx)dx.
Text Solution
|
If I(1) = inte^(e^(2)) (dx)/(log x) and I(2) = int1^(2) (e^(x)dx)/(x) ...
Text Solution
|
If f(x) is integrable on [0,a], then int0^(a) (f(x))/(f(x)+ f(a-x)) dx...
Text Solution
|
If In = int0^(pi//4) tan^n theta d theta, then for any +ve integer n, ...
Text Solution
|
The value of int(-1/2)^(1/2) (cosx). log ((1-x)/(1+x)) dx is
Text Solution
|
The value of int0^(pi) (dx)/(5+3cosx) is
Text Solution
|
int0^(pi) (xdx)/(a^(2) cos^(2) x+ b^(2) sin^(2) x) =
Text Solution
|
int0^(2pi) (sinx+|sinx|) dx =
Text Solution
|
int0^(oo) (xdx)/((1+x)(1+x^(2))) =
Text Solution
|
int0^(pi/8) cos^(3) 4 theta d theta =
Text Solution
|
int(pi/4)^(pi/2) cosec^(2)x dx =
Text Solution
|
If I(1)= int(0)^(pi//2) x sin x dx and I(2)=int(0)^(pi//2) x cos x dx,...
Text Solution
|
If f (x) is defined [-2, 2] by f(x)=4x^(2)-3x+1 and g(x)=(f(-x)-f(x))...
Text Solution
|
If k int (0)^(1)x.f(3x)dx = int(0)^(3) t. f(t)dt, then the value of k ...
Text Solution
|
The value of the integral int0^(pi//2) (sin^(100) x - cos^(100) x) dx ...
Text Solution
|
int(1)^(3)(x-1)(x-2)(x-3)dx=
Text Solution
|