Home
Class 12
MATHS
If f(x)=1/pi int0^(pi/2) sin^2(ntheta)/s...

If `f(x)=1/pi int_0^(pi/2) sin^2(ntheta)/sin^2theta d(theta)` then evaluate `(f(15)+f(3))/(f(15)-f(9))`

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|37 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Matching Type Questions)|4 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

The value of I(n) =int_0^pi(sin ^2n theta)/(sin^2theta) d theta is (AA n in N)

The value of f(k)=int_(0)^(pi//2) log (sin ^(2) theta +k^(2) cos^(2) theta) d theta is equal to

The value of int_(0)^(pi//2)(log(1+x sin^(2) theta))/(sin^(2)theta)d theta,xge0 is equal to

Evaluate int_(0)^(pi//2) cos theta tan ^(-1) ( sin theta)d theta .

Let f(theta)=sintheta(sintheta+sin3theta)dot Then f(theta)i s

If f (x)= (2x)/(1+x^2) , prove that f (tan theta)=sin 2 theta .

If f(theta)=(1-sin2 theta +cos theta theta)/(2 cos 2 theta) , then value of f(11^(@))*f(34^(@)) is __________

Let f(theta)=sin(tan^(-1)((sintheta)/(sqrt(cos2theta)))) , where -pi/4ltthetaltpi /4 then the value of d/ (d(tantheta)) f(theta) is