vault backup: 2025-03-20 12:17:12
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@ -12,7 +12,10 @@ $$ \int f(x) dx $$
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2. To perform this operation in reverse:
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2. To perform this operation in reverse:
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1. Add 1 to the exponent
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1. Add 1 to the exponent
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2. Multiply by $\dfrac{1}{n + 1}$
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2. Multiply by $\dfrac{1}{n + 1}$
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3. This gives us an antiderivative of$\dfrac{1}{3}x^3$
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3. This gives us an antiderivative of $\dfrac{1}{3}x^3$
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4. To check our work, work backwards.
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5. The derivative of $\dfrac{1}{3}x^3$ is $\dfrac{1}{3} (3x^2)$
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6. $= \dfrac{3}{3} x^2$
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## Formulas
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## Formulas
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