# How do you integrate #int e^(5x)(5)dx#?

# int \ e^(5x)(5) \ dx = e^(5x) + c #

We can rewrite the integrand to get:

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To integrate (\int e^{5x}(5)dx), you can use the substitution method. Let (u = 5x), then (du = 5dx).

The integral becomes (\frac{1}{5} \int e^u du).

Now, integrate (\int e^u du) which equals (e^u + C), where (C) is the constant of integration.

Substitute (u = 5x) back in: (\frac{1}{5}e^{5x} + 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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