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Definite Integral: Property

How to use the properties of definite integral to solve the given integrals: 4 properties, 4 examples, and their solutions.

Propertyaa f(x) dx

Example

Propertyab f(x) dx ± ∫ab g(x) dx

Exampleab dx

Propertyab f(x) dx + ∫bc f(x) dx

Example01 (2x + 1) dx + ∫14 (2x + 1) dx

Propertyab f(x) dx = -∫ba f(x) dx

Example08 5x4 dx - ∫28 5x4 dx