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(Solved): The graph of \( f \) consists of line segments and a semicircle, as shown in the figure. Evaluate ...
![(f) \( \quad \int_{-4}^{6}[f(x)+2] d x \)
\[
2 \pi+11
\]](https://media.cheggcdn.com/media/21a/21a3a7a1-448a-4a2b-9072-28ae082ed267/phpVgq4TR)
The graph of \( f \) consists of line segments and a semicircle, as shown in the figure. Evaluate each definite integral by using geometric formulas.
(f) \( \quad \int_{-4}^{6}[f(x)+2] d x \) \[ 2 \pi+11 \]
Expert Answer
we know ?abf(x)dx= area under the graph f(x) and x axis from a to b , it will be positive above x axis and negative below x axis