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-$\text { A student knows that } \int _ { a } ^ { + \infty } \mathrm { dx } = 57 . \text { Can } \int _ { - \infty } ^ { - 1 } \mathrm { f } ( \mathrm { x } ) \mathrm { dx } \text { be found, and if so, what is it? }$

Question

Quizplus · Accepted Answer

Knowing the value of the integral from $a$ to positive infinity does not provide enough information to determine the value of the integral from negative infinity to $-1$. The function $f(x)$ and the behavior of the function between $a$ and negative infinity are needed to determine the value of the given integral.

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