Home
Class 12
MATHS
If I=int(-pi//2)^(pi//2)(sin^(4)x)/(sin^...

If `I=int_(-pi//2)^(pi//2)(sin^(4)x)/(sin^(4)x+cos^(4)x)dx,` then the value of I is

A

0

B

`pi`

C

`(pi)/(2)`

D

`(pi)/(4)`.

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise 14.2 PROPERTIES OF DEFINITE INTEGRALS|4 Videos

  • CONTINUITY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|6 Videos

  • DIFFERENTIAL EQUATIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise M.C.Q|12 Videos

Similar Questions

Explore conceptually related problems

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

int_(-pi//4)^(pi//4)sin^(2)x dx=

int _(-pi)^(pi) (sin^(4)x)/(sin^(4) x + cos^(4) x )dx is equal to

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

int_(-pi//2)^(pi//2) (5sin^3 x+8sinx+4 cos^2x) dx

int_(-pi//2)^(pi//2)(sin^(2)x.cos^(2)x(sin x+cos x))dx=

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

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