?More properties of integrals consider two functions f and g on [1, 6] such that \(\int
Chapter 14, Problem 333(choose chapter or problem)
More properties of integrals consider two functions f and g on [1, 6] such that \(\int _1^6\ f(x)\ dx = 10,\ \int _1^6\ g(x)\ dx=5,\ \int _4^6\ f(x)\ dx=5\), and \(\int _1^4\ g(x)\ dx=2\). Evaluate the following integrals.
a. \(\int _1^4\ 3f(x)\ dx\) b. \(\int _1^6\ (f(x)-g(x))\ dx\)
c. \(\int _1^4\ (f(x)-g(x))\ dx\) d. \(\int _4^6\ (g(x)-f(x))\ dx\)
e. \(\int _4^6\ 8g(x)\ dx\) f. \(\int _4^1\ 2f(x)\ dx\)
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