Attachment 22078

At this stage, can I simple plug in 1 and 0 into the exponential to get the answer?

By doing so, I would get 4/3. But the model answer is 4/[3xln(5)].

Thanks!

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- Aug 17th 2011, 01:48 AMjerk21189Very simple question on "definite integrals"
Attachment 22078

At this stage, can I simple plug in 1 and 0 into the exponential to get the answer?

By doing so, I would get 4/3. But the model answer is 4/[3xln(5)].

Thanks! - Aug 17th 2011, 01:56 AMProve ItRe: Very simple question on "definite integrals"
No, you need to perform the integration first.

- Aug 17th 2011, 02:25 AMjerk21189Re: Very simple question on "definite integrals"
How to integrate that exponential function? I thought it remains the same after integration

- Aug 17th 2011, 02:25 AMSironRe: Very simple question on "definite integrals"
You can use a small substitution if you want, let $\displaystyle y\cdot \ln(5)=t \Rightarrow dy=\frac{dt}{\ln(5)}$ therefore:

$\displaystyle \frac{1}{3\cdot \ln(5)}\int_{0}^{1} e^{t}dt= ...$ - Aug 17th 2011, 05:48 AMTheChazRe: Very simple question on "definite integrals"