int_(-pi)^( pi)(cos ax-sin bx)^(2)dx

The value of integral int_(-pi)^(pi) (cos ax-sin b x)^(2)dx , where (a and b are integers), is

int_(-pi)^(pi) (Cos a x - Sin a x)^(2) dx=

int_(0)^( pi/2)|cos x-sin x|dx

The value of int_(0)^(2 pi)|cos x-sin x|dx is

int_0^(pi/4) (cos x- sin x) dx + int_(pi/4)^((5pi)/4) (sinx-cosx) dx + int_(2pi)^(pi/4) (cosx- sinx) dx =

If A=int_(0)^( pi)(cos x)/((x+2)^(2))dx, then int_(0)^( pi/2)(sin2x)/(x+1)dx is equal to

int_(0)^( pi)cos2x*log(sin x)dx

The value of int_(0)^(2pi) |cos x -sin x|dx is

The value of int_(0)^(2pi) |cos x -sin x|dx is