`sin x=sin(pi/2)`

Evaluate: int_(0)^( pi)(x sin2x sin((pi)/(2)cos x))/(2x-pi)dx

int_(0)^( pi)(x sin2x sin((pi)/(2)cos x))/(2x-pi)dx is equal to

Evaluate :int_(0)^( pi)(x^(2)sin2x*sin((pi)/(2)*cos x))/(2x-pi)dx

If f(x)=det[[x^(n),n!,2cos x,cos((n pi)/(2)),4sin x,sin((n pi)/(2)),8]], then find the value of (d^(n))/(dx^(n))[f(x)]_(x=0)]|

If y=sin^(-1)(sin x),-(pi)/(2)<=x<=(pi)/(2). Then, write the value of (dy)/(dx) for x in(-(pi)/(2),(pi)/(2))

If a sin x=b sin(x+(2 pi)/(3))=c sin(x+(4 pi)/(3)), prove that ab+ca=0

The number of x in (0,2 pi) satisfying the equation 1+sin2x=sin x+sin^(2)x is

35 .Value of sin^(2)x+sin^(2)(x+pi/3)+sin^(2)(x-pi/3) is equal to