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- Thread starter kieran1black2
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- #2

G01

Homework Helper

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According to the forum rules, you must show some work to get help. What have you tried? Where are you stuck? Etc.?

- #3

dt19

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This is the integration in LaTeX, if anyone else can't see it:

[itex]v = \frac{e^{\frac{t - 1205.525}{-100}}-142000}{30}[/itex]

[itex]s = \int v dt[/itex]

[itex]s = \int \frac{e^{\frac{t - 1205.525}{-100}}-142000}{30} dt[/itex]

Do you know how to integrate exponential functions?

EDIT: I don't know what is up with the LaTeX, but there should be only one expression on each line. So ignore the bit after the second equals sign on the first line. And there shouldn't be an 's' after the fraction on the first line. No idea why it is doing this, there's nothing wrong with the code as I put it in.

[itex]v = \frac{e^{\frac{t - 1205.525}{-100}}-142000}{30}[/itex]

[itex]s = \int v dt[/itex]

[itex]s = \int \frac{e^{\frac{t - 1205.525}{-100}}-142000}{30} dt[/itex]

Do you know how to integrate exponential functions?

EDIT: I don't know what is up with the LaTeX, but there should be only one expression on each line. So ignore the bit after the second equals sign on the first line. And there shouldn't be an 's' after the fraction on the first line. No idea why it is doing this, there's nothing wrong with the code as I put it in.

Last edited:

- #4

G01

Homework Helper

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First, I would sugest splitting the integral up into as many smaller integrals as possible. HINT:[tex]e^{a+b}=e^ae^b[/tex]

Using this relationship, plus splitting the integral up, you should end up with two smaller, easier integrals of known forms.

Using this relationship, plus splitting the integral up, you should end up with two smaller, easier integrals of known forms.

Last edited:

- #5

kieran1black2

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- #6

jackiefrost

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- #7

kieran1black2

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(e^-t/100)/(-30/100) x e^(-1205.525/-100)/t - 142000/30t

that is after integration... is that what you meant?

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