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Power Rule
\int x^n \, dx = \frac{x^{n+1}}{n+1} + C \quad \text{for} \, n \neq -1
Constant Rule
\int a \, dx = ax + C
Constant Multiple Rule
\int a \cdot f(x) \, dx = a \int f(x) \, dx
Sum Rule
\int (f(x) + g(x)) \, dx = \int f(x) \, dx + \int g(x) \, dx
Difference Rule
\int (f(x) - g(x)) \, dx = \int f(x) \, dx - \int g(x) \, dx
Exponential Function
\int e^x \, dx = e^x + C