Calculate the exact area of the region bounded by the graph of

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

Problem

Calculate the exact area of the region bounded by the graph of y=2x+3x2+3x+2y=\dfrac{2x+3}{x^{2}+3x+2}, the xx–axis, and the vertical lines x=0x=0 and x=1x=1. (a) ln⁡6\ln 6 (b) ln⁡3\ln 3 (c) ln⁡52\ln\dfrac{5}{2} (d) ln⁡6\ln \sqrt{6}

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