Determine whether the integral is convergent or divergent.If it is convergent, evaluate it.

Question

form -infinity to 0
x/(x^4+25)dx

Answer 1

To evaluate

∫x/(x^4+25) dx
let
z^2 = x
2z dz = dx

now you have

1/2 ∫1/(z^2+25) dz
That is just a standard integral, giving

(1/2)(1/5)arctan(z/5)

evaluate at the limits and you get -π/20