Integration in Maple 16

Question

I need to solve this integral in Maple 16, I've tried various functions such as evalf, solve, simplify, numeric, etc. In Wolfram Alpha Pro can solve quickly, but the maple does not solve! Can someone help me?

int((e^(-(0.25 (y-2.)^2)/y) ((0.0805163*y+0.161033)*erf(0.942809+0.288675 *sqrt(y)-0.57735/sqrt(y))+0.0805163 y+0.161033))/y^(3/2),y=0..infinity)

I thank you!

Answer 1

@Théophile and @Jean-Sébastien have correctly pointed out the syntax issues with your code.

Maple 18 is facing no difficulty to evaluate this integral directly. You just need to use evalf to get the answer.

int((exp(-(0.25*(y-2.)^2)/y)*((0.0805163*y+0.161033)*erf(0.942809+0.288675*sqrt(y)-0.57735/sqrt(y))+0.0805163* y+0.161033))/y^(3/2),y=0..infinity);

evalf(%);
               `1`

Another way is to plot it and try to make some sense out it.

f:=x->evalf(Int((exp(-(0.25*(y-2.)^2)/y)*((0.0805163*y+0.161033)*erf(0.942809+0.288675*sqrt(y)-0.57735/sqrt(y))+0.0805163* y+0.161033))/y^(3/2), y=x..infinity,method = _d01amc)):

plot(f,0..100,color=red,thickness=4,axes=boxed);