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Multiple-Choice Test Readiness
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Grade Level
Calculus II
CAL2.158 Multiple-Choice Test Readiness
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An MCQ asks whether ∫_{−∞}
∞
x/(1+x
2
) dx converges. Which response is test-ready?
A
It converges to 0 because the integrand is odd.
B
It converges absolutely because the denominator has degree 2.
C
It converges if the two infinite tails cancel each other.
D
It does not converge as an improper integral; the Cauchy principal value is 0, but the two one-sided integrals diverge.
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