[" If "int_(0)^( pi)|2sin x+3cos x|dx=sqrt(k)," where "k in N" ,"],[" then find the value of "k]

If int_(0)^(20)sqrt(1-cos pi x)dx=(10k sqrt(2))/(pi), then k is

If int_(0)^(n pi)f(cos^(2)x)dx=k int_(0)^( pi)f(c0s^(2)x)dx, then find the value k

" if " int (sin 2x- cos 2x) dx=(1)/(sqrt(2)) sin (2x-k)+c " then " k=?

If int_(0^k) 4x^3dx=16 then the value of k is

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))