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Properties of the Definite Integral

We now list several properties of definite integrals; though the proofs are not difficult, we will not give them here. They can be verified intuitively by considering the relevant areas.

Additive Property

f (x)dx + g(x)dx = f (x) + g(x) dx    

Multiplication by a Constant

cf (x)dx = c f (x)dx    

Telescoping of Limits

f (x)dx + f (x)dx = f (x)dx    

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