12*int_(1)^(3)(e^(2-3x)+x^(2)+1)dx

int_(-1)^(1)e^(3x+2)*dx

int_(1)^(2)(3x)/(9x^(2)-1)dx

int_(-1)^(1)3x^(2)dx

Find int_(-1)^(1) x^(3) e^(2) dx.

Evaluate :int_(1)^(3)(x^(2)+3x+e^(x))dx as the limit of the sum.

int_(1)^(e) e^(x)((x-1)/(x^(2)))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

If int_(ln2)^(x) (e^(x) - 1)^(-1) dx = ln'3/2 then what is the value of x ?