# How do you integrate #int 3^xdx#?

The answer is

Taking logs on both sides

Then

Therefore,

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To integrate ( \int 3^x , dx ), you can use the power rule of integration. Since ( 3^x ) is an exponential function, its antiderivative involves the same function. The integral is:

[ \int 3^x , dx = \frac{1}{\ln(3)} \cdot 3^x + 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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