Algebra: Other Algebra Problems – #4057


Question: If \(\int\limits_{5}^{12}{f\left( x \right)dx}=8\) and \(\int\limits_{0}^{5}{f\left( x \right)dx}=3\), and f is even, compute the following:

(a) \(\int\limits_{0}^{10}{f\left( x \right)dx}\)

(b) \(\int\limits_{5}^{0}{f\left( x \right)dx}\)

(c) \(\int\limits_{-10}^{10}{f\left( x \right)dx}\)

(d) \(7\int\limits_{5}^{10}{f\left( x \right)dx}\)

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