Step by Step Solutions

[Step-by-Step] Suppose that f and g are integrals and that ∫_1^2f(x)dx=-4, ∫_1^5f(x)dx=6, ∫_1^5g(x)dx=8 Determine the following ∫_2^2g(x)dx

Question: Suppose that f and g are integrals and that

\[\int\limits_{1}^{2}{f\left( x \right)dx}=-4,\,\,\int\limits_{1}^{5}{f\left( x \right)dx}=6,\,\,\int\limits_{1}^{5}{g\left( x \right)dx}=8\]

Determine the following

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

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