Answer
$a=-2$
$b=5$
Work Step by Step
Apply Theorem 4.6, Additive lnterval Property:
$\displaystyle \int_{-2}^{1}f(x)dx+\int_{1}^{5}f(x)dx=\int_{-2}^{5}f(x)dx$
$a=-2$
$b=5$
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