Evaluate the improper integral if it converges, or state that it diverges.
E) diverges

Name: Evaluate the improper integral if it converges, or state that it diverges. E) diverges
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Question

Evaluate the improper integral if it converges, or state that it diverges. ​ 
E) diverges

Quizplus · Accepted Answer

The integral does not converge since the integrand does not approach zero as x approaches infinity. Specifically, as x approaches infinity, the numerator of the integrand becomes much larger than the denominator, so the integrand approaches infinity. Therefore, the integral diverges.

Evaluate the Improper Integral If It Converges, or State That