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14-Alexandrite

Hello again friends,

I have what is hopefully a simple headache in integration.

I am looking at the below and attached.

In yellow is the integral I am trying to work out manually as I need to be able to do this in a manual way. I have tried a 'nifty' short cut in red but this is way off.

Then I have tried integrating without the upper and lower limits of the integral by rearranging, expanding the brackets, then integrating. Then replacing z for -T and resolving. Although this gives me an answer with a extra 5 in the numerator?

Any ideas where I am going wrong?

A

1 ACCEPTED SOLUTION

Accepted Solutions
24-Ruby V
(To:awibroe)

Concerning your "nifty short cut" - you'll have to explain what you had in mind! Which substitution which would generate those integral limits and I guess you forgot that you have replace the dz properly as well (so you are missing a factor T).

5 REPLIES 5
24-Ruby V
(To:awibroe)

basically two errors.

1) (-T)^2 is not the same as -T^2

2) -T is the lower limit, so you have to subtract the expression from 0 (sign change)

24-Ruby V
(To:awibroe)

Concerning your "nifty short cut" - you'll have to explain what you had in mind! Which substitution which would generate those integral limits and I guess you forgot that you have replace the dz properly as well (so you are missing a factor T).

14-Alexandrite
(To:Werner_E)

Cheers Werner,

A real rookie error on my part.

Andy,

12-Amethyst
(To:awibroe)

Here's a step by step solution

24-Ruby V
(To:mvenich)
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