Determine Whether the Improper Integral $\int _ { - \infty } ^ { \infty } \frac { 9 } { 49 + x ^ { 2 } } d x$

question 85

Multiple Choice

Determine whether the improper integral $\int _ { - \infty } ^ { \infty } \frac { 9 } { 49 + x ^ { 2 } } d x$ diverges or converges. Evaluate the integral if it converges.

• A) \(\frac { 9 } { 49 }\)
• B) \(\frac { 9 } { 7 } \pi\)
• C) \(\frac { 9 } { 49 } \pi\)
• D) \(\frac { 9 } { 7 }\)
• E) diverges

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