AP

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

Problem

Find ∫dxx2+6x+10\displaystyle\int \frac{dx}{x^{2}+6x+10}. (a) 12arctan⁡(x+3)+C\dfrac{1}{2}\arctan(x+3)+C (b) ln⁡∣x2+6x+10∣+C\ln|x^{2}+6x+10|+C (c) arctan⁡(x+3)+C\arctan(x+3)+C (d) arctan⁡ ⁣(x+32)+C\arctan\!\left(\dfrac{x+3}{2}\right)+C

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