int0^pi (cos^4 x)/(cos^4 x + sin^4 x) dx...

`int_0^pi (cos^4 x)/(cos^4 x + sin^4 x) dx = `

A

`pi/4`

B

`pi/2`

C

`pi/8`

D

`pi`

Verified by Experts

The correct Answer is:

B

DEFINITE INTEGRALS
MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATION|13 Videos
COMPLEX NUMBERS
MODERN PUBLICATION|Exercise Questions from karnataka CET & COMED|15 Videos
DETERMINANTS
MODERN PUBLICATION|Exercise Recent competitive Questions|10 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(pi/2)(cos^(4)x)/(cos^(4)x+sin^(4)x) dx =

Prove that int_(0 )^(a) f (x) dx = int_(0)^(a) f (a -x) dx hence evaluate int_(0)^(pi/2) ( cos^5 x)/( cos^2 x+ sinn ^5 x) dx

int_0^(pi) (cos x +|cos x|) dx =

int_0^(pi) (dx)/(a+b cos x) =

Evaluate the definite integrals int_(0)^(pi/4)(sinxcosx)/(cos^(4)x+sin^(4)x)dx

int_0^(pi/4) (sqrt tanx)/(sin x cos x) dx =

int_0^(pi/2) (cos x)/(sinx + cosx) dx =

int (2 cos x - 3 sin x)/(6 cos x + 4 sin x) dx

If [x] denote the greatest integer function , then , int(0)^(pi//6) (1...
Text Solution
|
If [x] denotes the greatest integer function, then : ""(2)^(4)([x] -...
Text Solution
|
int1^(e^(17//2)) (cos(pi log x))/(x) dx =
Text Solution
|
int0^1 x(1 - x)^(3//2) dx =
Text Solution
|
int0^(pi//4) (sin x + cos x)/(3 + sin 2x ) dx =
Text Solution
|
int0^1 (x^4 + 2x^2 + 1)d(x^2 + 1) =
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
|
The value of int(-1)^(2) (|x|)/(x) dx is :
Text Solution
|
int0^pi (cos^4 x)/(cos^4 x + sin^4 x) dx =
Text Solution
|
If f(x) = f(pi + e - x) and inte^(pi) f(x) dx = 2/(e + pi), then inte^...
Text Solution
|
The value of the integral int(-pi//4)^(pi//4)log(sec theta-tan theta...
Text Solution
|
The interval I such that int0^1 (dx)/(sqrt(1 + x^4)) in I is given by ...
Text Solution
|
int0^(pi//2) log(tan x)dx =
Text Solution
|
The value of int(-2)^(2)(ax^(3)+bx+c) dx depends on the
Text Solution
|
int(0)^(pi//4)log ((sin x +cos x )/(cosx))dx is equal to
Text Solution
|
int(-pi//4)^(pi//4)(dx)/(1+cos 2x) is equal to
Text Solution
|
int(-1)^(1) (x^(27) cos x + e^x) dx =
Text Solution
|
The value of the integral int0^pi (x sin^(2n) x)/(sin^(2n) x + cos^(2n...
Text Solution
|
If int0^(pi) x f (sin x) dx = A int0^(pi//2) f (sin x) dx, then A is :
Text Solution
|
int1^e log x dx =
Text Solution
|