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# Double integral problem watch

1. Hi,

I am facing a double Integral that I’m not sure if I’m approaching correctly. Could anyone help me work through it or tell me if I’m thinking correctly?

I believe I need to Integrate the inner integral with respect to T via integration by parts? Although I am not sure my thinking is correct

The question is attached
2. (Original post by SassyPete)
Hi,

I am facing a double Integral that I’m not sure if I’m approaching correctly. Could anyone help me work through it or tell me if I’m thinking correctly?

I believe I need to Integrate the inner integral with respect to T via integration by parts? Although I am not sure my thinking is correct

The question is attached
I would switch the order of integration first as it's simpler to get n done first and the result after is relatively simple.
3. Yes it is!
4. (Original post by TeeEm)
is the bottom limit 2n1.5 ?
Yes sir
5. (Original post by TeeEm)
reverse order
sketch region
obtain new limits
integrate wrt N
factorise in the resulting integrand the exponential and 1/24
then the resulting integral requires one substitution or recognition and
then THE END
(CASUAL COMMENT)

I do not usually casually comment I did enjoy the ending of your post.
6. I’ve tried several times but I keep messing up and I don’t know why
7. (Original post by TeeEm)
reverse order
sketch region
obtain new limits
integrate wrt N
factorise in the resulting integrand the exponential and 1/24
then the resulting integral requires one substitution or recognition and
then THE END
Am still stuck and having a nightmare 😭
8. (Original post by SassyPete)
I’ve tried several times but I keep messing up and I don’t know why
Then post your working here so we can have a look at it.
9. (Original post by TeeEm)
look at question 51 in this link

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