[" The equation "],[int_(-pi/4)^( pi/4)(a|sin x|+(b sin x)/(1+cos x)+c)dx=0]

The equation int_(-(pi)/(4))^((pi)/(4)){a|sin x|+(b sin x)/(1+cos^(2)x)+c}dx=0 where a,b,c are constants gives a relation between

int_(0)^( pi/4)(sin x-cos x)dx

int_(0)^( pi/4)(1+sin2x)/(cos x+sin x)dx

int_(0)^(pi//4)(sin 2 x)/(sin^(4) x + cos^(4) x ) dx =

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

int_(-(pi)/(4))^((pi)/(4))(2 pi+sin2 pi x)/(2-cos2x)dx

Find int _(-pi/4) ^(pi/4) (sin ^(4) x )/(sin ^(4) x + cos ^(4)x)dx

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