`underset(0)overset(4)int (x+e^(2x))dx`

Evaluate the following as the limit of a sum: underset(0)overset(4)int(x^2+2x)dx

underset(0)overset(1)int e^(2logx)dx=

Evaluate the definite integrals . I=underset(0)overset(1)int x. e^(-x^(2))dx

Evaluate the following definite integrals : underset0 overset4 int (x+e^(2x))dx

evaluate underset(0)overset(1)int e^(-x) dx

Evaluate the following as the limit of a sum: underset(0)overset(3)int(x^2+4x)dx

Evaluate underset(2)overset(4)int(x^(2)-1)dx .

Evaluate: underset(0)overset(2)int(4-x^2)dx

Evaluate: underset(2)overset(5)int(x^2+x)dx

If I_(1)=int_(0)^(oo) (dx)/(1+x^(4))dx and I_(2)=underset(0)overset(oo)int x^(2)(dx)/(1+x^(4))"then"n (I_(1))/(I_(2))=