# Question:How do I calculate numerical integation with unremovable singularity?

## Question:How do I calculate numerical integation with unremovable singularity?

Maple

Hello

I have problem to calculate a numerical integration. I guess, I can't use integration cammands correctly or singularity is the problem.
The equation has a singularity at y=0 (exp(1E-9*I*x/y)). The limits are semi_infinite.
integration:

f1 := (-(1.671130827*10^(-21)*I)*((0.6132469529e-1-.5253537767*I)*x^3+(.2894208344-2.479398027*I)*y*x^2+(0.1107017247e-1+(-.2377238011-0.2774956673e-1*I)*y^2)*x+(-.1167302837+.9999999999*I)*y^3+(0.2912028092e-1-.2494663781*I)*y)*exp(-1.732070784*10^(-15)*x*y)*((-0.6132469529e-1-.5253537767*I)*x^3+(.3115611798+2.669068985*I)*y*x^2+(-0.1107017247e-1+(-.3699321954+0.4318229002e-1*I)*y^2)*x+(.1455017102+1.246477826*I)*y^3+(0.2512356422e-1+.2152274756*I)*y)*exp(1.732070784*10^(-15)*x*y)*exp(-2.178669712*10^(-15)*y^2-3.534838336*10^(-16)*x^2+(1.000000000*10^(-9)*I)*x/y)/x)*y:

evalf(Int(f1,y=0..infinity));

Thank you
Test4_MaplePrimes.mw

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