AP

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

Problem

Evaluate ∫dx9−(x−1)2\displaystyle \int \frac{dx}{\sqrt{9-(x-1)^{2}}}. (a) cos⁡−1x−13+C\cos^{-1}\dfrac{x-1}{3}+C (b) sin⁡−1x−13+C\sin^{-1}\dfrac{x-1}{3}+C (c) ln⁡∣x−1+9−(x−1)2∣+C\ln\Bigl|x-1+\sqrt{9-(x-1)^{2}}\Bigr|+C (d) sin⁡−1x3+C\sin^{-1}\dfrac{x}{3}+C

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