`int_0^pisqrt((cosx+cos2x+cos3x)^2+(sinx+sin2x+sin3x)^2) dx` is equal to `(pi/k+w)`, where k and w are positive integers, find the value of `(k^2+w^2)`

int_(0)^( pi)sqrt((cos x+cos2x+cos3x)^(2)+(sin x+sin2x+sin3x)^(2))dx is equal to ((pi)/(k)+w), where k and w are positive integers,find the value of (k^(2)+w^(2))

Evaluate int_(0)^(pi)sqrt((cosx+cos2x+cos3x)^(2)+(sinx+sin2x+sin3x)^(2))dx

Evaluate int_(0)^(pi)sqrt((cosx+cos2x+cos3x)^(2)+(sinx+sin2x+sin3x)^(2))dx

If int _(0)^(2)(3x ^(2) -3x +1) cos (x ^(3) -3x ^(2)+4x -2) dx = a sin (b), where a and b are positive integers. Find the value of (a+b).

If int _(0)^(2)(3x ^(2) -3x +1) cos (x ^(3) -3x ^(2)+4x -2) dx = a sin (b), where a and b are positive integers. Find the value of (a+b).

If int_(0)^(pi//2) ( cos x dx)/( 6-5 sin x + sin^(2) x)= log K then K is equal to

The value of the int(sinx+cosx)/(3+sin2x)dx is equal to

The value of int_(0)^(2 pi)(sin^(2)x-cos^(4)x)dx is equal to pi/k then k

int(cos2x)/((e^(-x)+cosx)sqrt(1+sin2x))dx,x in(0,(pi)/(2)) is equal to