?Properties of integrals Suppose \(\int _0^3\ f(x)\ dx=2,\ \int _3^6\ f(x)\ dx=-5\), and

Chapter 14, Problem 332

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Properties of integrals  Suppose \(\int _0^3\ f(x)\ dx=2,\ \int _3^6\ f(x)\ dx=-5\), and \(\int _3^6\ g(x)\ dx=1\). Evaluate the following integrals.

a. \(\int _0^3\ 5f(x)\ dx\)                                                   b. \(\int _3^6\ [-3g(x)]\ dx\)

c. \(\int _3^6\ (3f(x)-g(x))\ dx\)                                                  d. \(\int _6 ^3\ [f(x)+2g(x)]\ dx\)

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