- #1

danai_pa

- 29

- 0

Please healp me

What is the solution of equation?

intregal of Ax^2*exp(-x^2/2a^2)

What is the solution of equation?

intregal of Ax^2*exp(-x^2/2a^2)

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- Thread starter danai_pa
- Start date

- #1

danai_pa

- 29

- 0

Please healp me

What is the solution of equation?

intregal of Ax^2*exp(-x^2/2a^2)

What is the solution of equation?

intregal of Ax^2*exp(-x^2/2a^2)

- #2

lurflurf

Homework Helper

- 2,452

- 148

Do you want a definite or indefinite integral? The antiderivative of this function cannot be written in terms of elementry function. If you know the function erf(x) you can express the integral in terms of it (hint: integrate by parts). erf is usually defined in terms of the integral of exp(-x^2). You can also find the integral of the function over the whole real line by integrating by parts and using the fact that the whole real line integral of exp(-k x^2) isdanai_pa said:Please healp me

What is the solution of equation?

intregal of Ax^2*exp(-x^2/2a^2)

sqrt(pi/k) a fact that can be shown a number of ways. How much calculus do you know?

- #3

Jayboy

- 21

- 0

var[x] = E[x^2] - (E[x])^2

will then provide the answer.

- #4

mathmike

- 208

- 0

why dont you just set u = (-x^2 / 2 * x ^2)

then du / dx = - x / a ^ 2

then it is much easier

then du / dx = - x / a ^ 2

then it is much easier

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