 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2013/paper-2/13/b/ii/solution

I_{1}

I_{1} = 0

. For

I_{2}

, the recurrence gives

I_{2} = I_{0} /2

, where the supplied Gaussian integral is

I_{0} = π

. Hence

I_{1} = 0, I_{2} = \frac{π}{2} .

The zero first moment is specific to the symmetric full-line domain.

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