Home
Class 12
MATHS
Evaluate int0pi/2(sin^4x)/(sin^4x+cos...

Evaluate `int0pi/2(sin^4x)/(sin^4x+cos^4x)""dx`

Text Solution

Verified by Experts

The correct Answer is:
`(pi)/(4)`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    OSWAAL PUBLICATION|Exercise DEFINITE INTEGRALS (VERY TYPE ANSWER TYPE QUESTIONS - II)|2 Videos
  • II PUC TOPPER'S ANSWERS MARCH (2017)

    OSWAAL PUBLICATION|Exercise PART - E Answer any one question :|4 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    OSWAAL PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS - II|43 Videos

Similar Questions

Explore conceptually related problems

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

Evaluate : int_(0)^(pi//2) ( sin x)/(1 +cos ^2 x) dx

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

int (sin^(4)x-cos^(4)x)dx=

Evaluate : int_(-pi/2) ^(pi/2) sin^2x dx

int (sinx . cos x)/(sin^(4)x + cos^(4)x) dx =

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

int (sin 4x)/(cos 4x) dx =