?Properties of integrals Use only the fact that \(\int _0^4\ 3x(4-x)\ dx=32\) and the
Chapter 14, Problem 332(choose chapter or problem)
Properties of integrals Use only the fact that \(\int _0^4\ 3x(4-x)\ dx=32\) and the definitions and properties of integrals to evaluate the following integrals, if possible.
a. \(\int _4^0\ 3x(4-x)\ dx\) b. \(\int _0^4\ x(x-4)\ dx\)
c. \(\int _4^0\ 6x(4-x)\ dx\) d. \(\int _0^8\ 3x(4-x)\ dx\)
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