Answer
True.
Work Step by Step
Comparing with
Th. 4.7, Properties of Definite Integrals
2. $\displaystyle \int_{a}^{b}[f(x)\pm g(x)]dx=\int_{a}^{b}f(x)dx\pm\int_{a}^{b}g(x)dx$,
the statement is true
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