?Piecewise continuous functions Use geometry and the result of Exercise 74 to evaluate

Chapter 14, Problem 334

(choose chapter or problem)

Piecewise continuous functions  Use geometry and the result of Exercise 74 to evaluate the following integrals.

\(\int _1^6\ f(x)\ dx\) where \(f(x)=\left\{\begin{array}{ll} 2 x & \text { if } 1 \leq x<4 \\ 10-2 x & \text { if } 4 \leq x \leq 6 \end{array}\right.\)

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