`int_(0)^(4)(x+e^(2x))dx`

int_(0)^(2) e^(x) dx

int_(0)^(1)x e^(x^(2)) dx

If int_(0)^(1) x e^(x^(2) ) dx=alpha int_(0)^(1) e^(x^(2)) dx , then

lim_(xrarr oo) (int_(0) ^(2x)xe^(x^(2))dx)/(e^(4x^2))

If int_(0)^(oo) e^(-x^(2))dx=sqrt((pi)/(2))"then"int_(0)^(oo) e^(-ax^(2)) dx, a gt0 , s

Consider the integrals I_(1)=int_(0)^(1)e^(-x)cos^(2)xdx,I_(2)=int_(0)^(1) e^(-x^(2))cos^(2)x dx,I_(3)=int_(0)^(1) e^(-x^(2))dx and I_(4)=int_(0)^(1) e^(-(1//2)x^(2))dx . The greatest of these integrals, is

int_(0)^(oo)e^(-x^(2))dx=(sqrtpi)/(2) then

int_(0)^(2)e^(x)\ dx

The value of int_(4)^(5) e^(x) dx

Evaluate int_(0)^(4)(e^(x))/(1+e^(2x))dx