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
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Multiplication by a Constant
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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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