# How do you evaluate the definite integral #int e^x# from #[0,1]#?

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To evaluate the definite integral ∫e^x from 0 to 1, you can directly integrate the function e^x with respect to x and then evaluate it at the upper limit (1) and subtract the value of the function at the lower limit (0).

∫e^x dx = e^x + C

Substituting the upper and lower limits into the antiderivative:

∫e^x dx evaluated from 0 to 1 = (e^1 - e^0)

= e - 1

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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