The graph of consists of line segments and a semicircle, as shown in the figure

Chapter 4, Problem 47

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Think About It The graph of f consists of line segments and a semicircle, as shown in the figure. Evaluate each definite integral by using geometric formulas.

(a) \(\int_{0}^{2} f(x) d x\)

(b) \(\int_{2}^{6} f(x) d x\)

(c) \(\int_{-4}^{2} f(x) d x\)

(d) \(\int_{-4}^{6} f(x) d x\)

(e) \(\int_{-4}^{6}|f(x)| d x\)

(f) \(\int_{-4}^{6}[f(x)+2] d x\)

Text Transcription:

\int_{0}^{2} f(x) d x

\int_{-4}^{2} f(x) d x

\int_{2}^{6} f(x) d x

\int_{-4}^{6} f(x) d x

\int_{-4}^{6}|f(x)| d x

\int_{-4}^{6}[f(x)+2] d x

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