Asked 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
form -infinity to 0
x/(x^4+25)dx
Answers
Answered by
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
∫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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