Let . If can be written as , then…

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

Problem

Let I=∫(6x−2−9x+3)dxI=\displaystyle \int \left( \dfrac{6}{x-2}-\dfrac{9}{x+3} \right)dx. If II can be written as ln⁡∣ (x−2)p (x+3)q∣+C\ln|\,(x-2)^p\,(x+3)^q|+C, then (p,q)(p,q) equals (a) (6,9)(6,9) (b) (1,−1)(1,-1) (c) (6,−9)(6,-9) (d) (−6,9)(-6,9)

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