int_(-1)^(1)(sin x-x^(2))/(3-|x|)dx

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

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

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

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

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

int_(-1)^(1) Sin^(-1) ((x)/(1+x^(2)))dx=

int_(-1/2)^(1/2) [sin^(-1)(3x-4x^(3)) - cos^(-1) (4x^(3)-3x)] dx =

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

Evaluate: int_(0)^(1//2) (sin^(-1)x)/((1-x^(2))^(3//2)) dx