Integration Rules

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Last updated 7:08 PM on 7/7/24
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7 Terms

1
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Power Rule

\int x^n \, dx = \frac{x^{n+1}}{n+1} + C \quad \text{for} \, n \neq -1

2
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Constant Rule

\int a \, dx = ax + C

3
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Constant Multiple Rule

\int a \cdot f(x) \, dx = a \int f(x) \, dx

4
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Sum Rule

\int (f(x) + g(x)) \, dx = \int f(x) \, dx + \int g(x) \, dx

5
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Difference Rule

\int (f(x) - g(x)) \, dx = \int f(x) \, dx - \int g(x) \, dx

6
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Exponential Function

\int e^x \, dx = e^x + C

7
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