Answer
True
Work Step by Step
$$\int_{a}^{b}5f(x)dx = \int_{a}^{b}[f(x)+f(x)+f(x)+f(x)+f(x)]dx$$
$$= \int_{a}^{b}f(x)dx +\int_{a}^{b}f(x)dx +\int_{a}^{b}f(x)dx +\int_{a}^{b}f(x)dx +\int_{a}^{b}f(x)dx$$
$$=5\int_{a}^{b}f(x)dx$$
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