are you sure that you write that correctly ?
Hi everyone, can anybody please show me how to solve these two double integration questions please?
Here they are:
For the first one is painful,I cannot even start,but I guess maybe I need to change the order,am I right?
Second one is a bit horrible, I cannot continue after I integrated with respect to x, it was getting really messy.
Please show me what I should do,thanks a lot.
With regard to the second integral, here's what Mathematica gives:
Here the is the upper incomplete Gamma function defined by
The numerical value of this result is approximately
I might be able to explain portions of the journey to get you there.
Let's take your original integral. You can immediately do the z integration. You have the following:
Next, we perform the integral to obtain
From here, I'd probably do the substitution from which we get Hence, the integral becomes
This function actually has an antiderivative in terms of the gamma function. I'm not sure I can explain it to you. Perhaps Opalg could weigh in on that one. Once you have that antiderivative, all you do is plug in the limits, and you have your result.