int_(-pi/4)^(n pi-pi/4)|sin x+cos x|dx(n in N)" is "

Find value of following definite integrals: int_(-pi/4)^(npi-pi/4)|sin+cosx|dx\ (n in N)

Evaluate: int_(-(pi)/(4))^(n pi-(pi)/(4))|sin x+cos x|dx

int_(-pi/2)^(pi/2) sin^(m) x. cos^(n) x dx = 0 , if

int_(-pi//4)^(pi//4) e^(-x)sin x" dx" is

int_(-pi//4)^(pi//4) e^(-x)sin x" dx" is

int_(pi//4) ^(3pi//4) dx/((sin x - 2 cosx)(2sin x + cos x))=

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