What are five basic properties of definite integrals?
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The five basic properties of definite integrals are:
- Linearity: The integral of a sum is the sum of the integrals.
- Constant multiple: The integral of a constant times a function is the constant times the integral of the function.
- Interval addition: Integrating over the union of two intervals is the sum of the integrals over each interval separately.
- Reversing limits: Reversing the limits of integration changes the sign of the integral.
- Integrating the zero function: The integral of the zero function over any interval is zero.
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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.
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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