# calculus

posted by alex

Determine whether the integral is convergent or divergent.If it is convergent, evaluate it.
form -infinity to 0
x/(x^4+25)dx

1. Steve

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

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