# Evaluate the Integral of #int (2+x+x^13)dx #?

# int \ (2+x+x^13) \ dx = 2x + x^2/2 + x^14/14 +c #

We use the power rule for integration, that is:

So, using this, we have:

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The integral of ( \int (2 + x + x^{13}) , dx ) is ( x + \frac{x^2}{2} + \frac{x^{14}}{14} + 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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