[Solution] If ∫_5^12f(x)dx=8 and ∫_0^5f(x)dx=3, and f is even, compute the following: ∫_0^10f(x)dx ∫_5^0f(x)dx ∫_-10^10f(x)dx
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:
- \(\int\limits_{0}^{10}{f\left( x \right)dx}\)
- \(\int\limits_{5}^{0}{f\left( x \right)dx}\)
- \(\int\limits_{-10}^{10}{f\left( x \right)dx}\)
- \(7\int\limits_{5}^{10}{f\left( x \right)dx}\)
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