`int_(-1)^(1)(x^(3) + sin x + 2)dx = `

int_(-1)^(1)(x^(2)+sin x)dx=

int_(-1)^(1)sin^(2) x dx

int_(-1)^(1)(x^(4)+sin^(3)x)dx

int _(-1) ^(1) (sin x + x ^(2))/( 3 - |x|) dx

(1) int(x^(2)+sin x)dx

int_(-1)^(3)sin(x-[x])dx

int_ (0) ^ (1) sin (x ^ (2) + 2x + 1) dx-int_ (1) ^ (2) sin x ^ (2) dx is

show that (a) int_(0) ^(2pi) sin ^(3) x dx = 0 , (b) int_(-1)^(1) e^(-x^(2)) dx = 2 int_(0)^(1) e^(-x^(2)) dx