# How do you find the integral of #18e^(3t) dt #?

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To find the integral of (18e^{3t} dt), you can use the formula for integrating exponential functions, (\int e^{ax} dx = \frac{1}{a}e^{ax} + C), where (a) is a constant, and (C) is the constant of integration.

Given (18e^{3t} dt), (a = 3) in this context. So,

[ \int 18e^{3t} dt = \frac{18}{3}e^{3t} + C = 6e^{3t} + C. ]

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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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