`int_(-pi/4)^(pi/4)|sinx|dx` 4

int_(-pi//4)^(pi//4)|sinx|dx=(2-sqrt(2))

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

int_(pi/3)^(pi/2) sinx dx

int_(pi)^(2pi)|sinx|dx=?

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

(i) int_0^(pi//2) sin^2 dx =pi/4 (ii) int_0^(pi//2) cos^2x dx=pi/4 (iii) int_(-pi//4)^(pi//4) sin^2 x dx=pi/4-1/2 (iv) int_(-pi//4)^(pi//4) cos^2x dx=pi/4+1/2

int_(0)^(pi//4)(cosx-sinx)dx+int_(pi//4)^(5pi//4)(sinx-cosx)dx+int_(2pi)^(pi//4)(cosx-sinx)dx is equal to