Evaluate the improper integral .

MATHEMATICS · Single correct · AP · Calculus BC · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Evaluate the improper integral ∫2∞7(x−1)(x+2) dx\displaystyle \int_{2}^{\infty} \frac{7}{(x-1)(x+2)}\,dx. (a) 73ln⁡3\dfrac{7}{3}\ln 3 (b) −73ln⁡4-\dfrac{7}{3}\ln 4 (c) 73ln⁡4\dfrac{7}{3}\ln 4 (d) The integral diverges because the integrand approaches zero too slowly.

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