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 |
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Multiplication by a Constant
cf (x)dx = c f (x)dx |
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Telescoping of Limits
f (x)dx + f (x)dx = f (x)dx |
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