Home
Class 12
MATHS
int0^(pi/2)(sin2theta)/(sin^4theta+cos^4...

`int_0^(pi/2)(sin2theta)/(sin^4theta+cos^4theta) d theta`

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

int_0^(2pi) theta sin^2 theta cos theta d theta is equal to :

If int_0^(pi/2) (d theta)/(9 sin^(2) theta + 4 cos^(2) theta) = k pi , then k =

int_(-pi/2)^(pi/2) cos theta (1+ sin theta)^(2) d theta =

Prove that (cos^(2) theta)/(1-tan theta)+(sin^(3) theta)/(sin theta - cos theta) =1 + sin theta cos theta .

The value of the integral int_0^(pi/4) (sin theta + cos theta)/(9+16 sin 2 theta) d theta is

Prove that (sin theta+cos theta)/(sin theta- cos theta) + (sin theta - cos theta)/(sin theta + cos theta) = ( 2sec^(2) theta)/(tan^(2) theta -1) .

If f(x)=|{:( sin^2 theta , cos^(2) theta , x),(cos^(2) theta , x , sin^(2) theta ),( x , sin^(2) theta , cos^2 theta ):}| theta in (0,pi//2), then roots of f(x)=0 are

If sin theta = 12/13 (0^(@) lt theta lt 90^(@)) , find the value of (sin^(2) theta - cos^(2)theta)/(2 sin theta cos theta) xx (1)/(tan^(2)theta) .