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)=|(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

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 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 + sin 3x, sin 2x , sin 3x),(3 + 4 sin x, 3, 4 sin x),(1 + sin x, sin x, 1)| then the value of int_0^(-pi//2) f(x) dx equals :

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=……….

Let f(x) = |(2cos^2x, sin2x, -sinx), (sin2x, 2 sin^2x, cosx), (sinx, -cosx,0)| , then the value of int_0^(pi//2){f(x) + f'(x)} dx is

Let f(x) = |(2cos^2x, sin2x, -sinx), (sin2x, 2 sin^2x, cosx), (sinx, -cosx,0)| , then the value of int_0^(pi//2){f(x) + f'(x)} dx is

Let f(x) = |(2cos^2x, sin2x, -sinx), (sin2x, 2 sin^2x, cosx), (sinx, -cosx,0)| , then the value of int_0^(pi//2){f(x) + f'(x)} dx is