# How do you integrate #e^(4x) dx#?

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To integrate ( e^{4x} , dx ), you can use the following method:

Integrate ( e^{4x} , dx ) with respect to ( x ), using the integration rule for ( e^{ax} ), where ( a ) is a constant:

[ \int e^{ax} , dx = \frac{1}{a} e^{ax} + C ]

Applying this rule with ( a = 4 ), we get:

[ \int e^{4x} , dx = \frac{1}{4} e^{4x} + 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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