Stats Solutions

(Solution Library) Suppose that f and h are integrals and that ∫_1^9f(x)dx=-1, ∫_7^9f(x)dx=5, ∫_7^9h(x)dx=4 Determine the following ∫_1^9-2f(x)dx

Question: Suppose that f and h are integrals and that

\[\int\limits_{1}^{9}{f\left( x \right)dx}=-1,\,\,\int\limits_{7}^{9}{f\left( x \right)dx}=5,\,\,\int\limits_{7}^{9}{h\left( x \right)dx}=4\]

Determine the following

  1. \(\int\limits_{1}^{9}{-2f\left( x \right)dx}\)
  2. \(\int\limits_{7}^{9}{\left[ f\left( x \right)+h\left( x \right) \right]dx}\)
  3. \(\int\limits_{7}^{9}{\left[ 2f\left( x \right)-3h\left( x \right) \right]dx}\)
  4. \(\int\limits_{9}^{1}{f\left( x \right)dx}\)
  5. \(\int\limits_{1}^{9}{f\left( x \right)dx}\)
  6. \(\int\limits_{9}^{7}{\left[ h\left( x \right)-f\left( x \right) \right]dx}\)

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