Determine whether the integral converges or diverges.

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

Problem

Determine whether the integral ∫−121(x−1)2 dx\displaystyle \int_{-1}^{2}\frac{1}{(x-1)^2}\,dx converges or diverges. (a) The integral converges and equals 32\dfrac{3}{2}. (b) The integral converges and equals ln⁡2\ln 2. (c) The integral diverges. (d) The integral converges and equals 11.

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