If `f(x)=|[sinx,sin2x,0],[sin2x,sin3x,sin4x],[sin3x,sin4x,sin5x]|`, then:

If |(sinx,sin2x,sin3x),(sin2x,sin3x,sinx),(sin3x,sinx,sin2x)|=0 then the number of values of x in interval [0,2pi] is

If f(x)=|[[sinx+sin2x+sin3x,sin2x,sin3x],[3+4sinx,3,4sinx],[1+sinx,sinx,1]]| then what is the value of int_0^(pi/2)f(x)dx ?

If f(x)=|(sin x+sin 2x+sin3x,sin2x,sin3x),(3+4sinx,3,4sinx),(1+sinx,sinx,1)|, then the value of int_0^(pi/2) f(x) dx is

If f(x)=|{:(sinx+sin2x+sin3x,sin2x,sin3x),(3+4sinx,3,4sinx),(1+sinx,sinx,1):}|," then the value of "int_(0)^(pi//2)f(x)dx is

Evaluation of definite integrals by subsitiution and properties of its : f(x)=|(sinx+sin2x+sin3x,sin2x,sin3x),(3+4sinx,3,4sinx),(1+sinx,sinx,1)| then int_(0)^(pi/2)f(x)dx=……….

If f(x)=|(sin x+sin x 2x+sin3x,sin2x,sin3x),(3+4sinx,3,4sinx),(1+sinx,sinx,1)|, then the value of int_0^(pi/2) f(x) dx is

If f(x)= =|{:(sinx+sin2x+sin3x,sin2x,sin3x),(3+4sinx,3,4sinx),(1+sinx,sinx,1):}| then the value of int_(0)^(pi//2) f(x)dx , is

If sinx +sin3x+sin5x=0, then

sinx+sin3x+sin5x=0

sinx+sin3x+sin5x=0