# How do you evaluate the integral #inte^(4x) dx#?

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To evaluate the integral ∫e^(4x) dx, you can use the following steps:

- Recognize that the integral is of the form ∫e^(ax) dx, where a = 4.
- Apply the power rule for integration, which states that ∫e^(ax) dx = (1/a) * e^(ax) + C, where C is the constant of integration.
- Substitute the value of a into the formula: ∫e^(4x) dx = (1/4) * e^(4x) + C.
- Add the constant of integration, C, to complete the solution.

So, the integral of e^(4x) dx is (1/4) * e^(4x) + 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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