Show that :

`int ( x + 2 ) dx = x^2/2 + 2x + c`

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

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

int (dx) / ((x ^ (2) + 2x + 6))

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

int(x+2)(2x+6)dx

int (dx) / (2x ^ (2) + x-1)

int (x ^ (2) + 2x + 12) / ((2x + 1)) 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

int(2x-1)/(x-2)dx