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Properties of the Definite Integral

Properties of the Definite Integral

Properties of the Definite Integral

Properties of the Definite Integral

Properties of the Definite Integral

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