# How do you integrate #f(t) = 1.4e^(0.07t)#?

Apply constant multiple rule,

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To integrate ( f(t) = 1.4e^{0.07t} ), you use the power rule for integration, which states that ( \int e^{ax} ,dx = \frac{1}{a}e^{ax} + C ), where ( a ) is a constant. Applying this rule to ( f(t) ), the integral becomes:

[ \int 1.4e^{0.07t} ,dt = \frac{1.4}{0.07}e^{0.07t} + C ]

So, the integral of ( f(t) ) is ( \frac{20}{7}e^{0.07t} + C ), where ( C ) is the constant of integration.

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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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