# How do you integrate #x^15 dx#?

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To integrate (x^{15}) with respect to (x), you apply the power rule of integration:

[ \int x^n , dx = \frac{x^{n+1}}{n+1} + C ]

Where (C) is the constant of integration.

Applying this rule to (x^{15}), we have:

[ \int x^{15} , dx = \frac{x^{15+1}}{15+1} + C = \frac{x^{16}}{16} + C ]

Therefore, the integral of (x^{15}) with respect to (x) is (\frac{x^{16}}{16} + 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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