Let $a$ And $b$ Be Real Numbers A) $\int _ { - \infty } ^ { 2 } \frac { 9 } { x ^ { 2 } + 10 } d x$

question 66

Multiple Choice

Let $a$ and $b$ be real numbers. What integral must appear in place of the question mark "?" to make the following statement true?
$$\int _ { - \infty } ^ { a } \frac { 10 } { x ^ { 2 } + 9 } d x + \int _ { a } ^ { \infty } \frac { 10 } { x ^ { 2 } + 9 } d x = ? + \int _ { b } ^ { \infty } \frac { 10 } { x ^ { 2 } + 9 } d x$$

• A) \(\int _ { - \infty } ^ { 2 } \frac { 9 } { x ^ { 2 } + 10 } d x\)
• B) \(\int _ { b } ^ { - \infty } \frac { 10 } { x ^ { 2 } - 9 } d x\)
• C) \(\int _ { - \infty } ^ { b } \frac { 10 } { x ^ { 2 } + 9 } d x\)
• D) \(\int _ { b } ^ { - \infty } \frac { 10 } { x ^ { 2 } + 9 } d x\)
• E) none of these

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