- #1

- 3

- 0

how do integrate this when x>1 x<1 and x=1 using laplace method?

the maximum point is at x=1

i have the answer for x<1 and x=1

but im struggling for x>1 as the stationary point is no longer inside the interval.

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- Thread starter Mathsone
- Start date

- #1

- 3

- 0

how do integrate this when x>1 x<1 and x=1 using laplace method?

the maximum point is at x=1

i have the answer for x<1 and x=1

but im struggling for x>1 as the stationary point is no longer inside the interval.

- #2

chiro

Science Advisor

- 4,790

- 132

In your integral x is not being integrated with respect to which means it is a constant which doesn't have any effect on the integral.

Is the 'x' meant to be an 's' or the 's' meant to be an 'x'? (Both end up being the same thing).

- #3

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i think the format of my integral just got meddled up when i was typing out the question. sorry bout that.

- #4

chiro

Science Advisor

- 4,790

- 132

For a start your expression simplifies down to s^N x e^(-sN) which is nearly in the form of a Gamma function. I have transformed your equation into a gamma function with a simple transformation using the substituion t = nS and then changing the limits to get it into a Gamma function.

Using this information, does this help you with your question?

- #5

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- #6

chiro

Science Advisor

- 4,790

- 132

Are you aware of the incomplete gamma function?

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