Get answer: Using Properties of Definite Integrals Given and evaluate (a) (b) (c) (d)

Chapter 5, Problem 29

(choose chapter or problem)

Given

\(\int_{4}^{8} f(x) d x=12\) and \(\int_{4}^{8} g(x) d x=5\)

evaluate

(a) \(\int_{4}^{8}[f(x)+g(x)] d x\).

(b) \(\int_{4}^{8}[f(x)-g(x)] d x\).

(c) \(\int_{4}^{8}[2 f(x)-3 g(x)] d x\).

(d) \(\int_{4}^{8} 7 f(x) d x\).

Text Transcription:

\int_{4}^{8} f(x) d x=1

\int_{4}^{8} g(x) d x=5

\int_{4}^{8}[f(x)+g(x)] d

\int_{4}^{8}[f(x)-g(x)] d x

\int_{4}^{8}[2 f(x)-3 g(x)] d x

\int_{4}^{8} 7 f(x) d x

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