Let be a differentiable function satisfying and

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

Problem

Let yy be a differentiable function satisfying y′(x)=2xx2+1y'(x)=\dfrac{2x}{x^{2}+1} and y(1)=0y(1)=0. What is y(3)y(3)? (a) ln⁡10\ln 10 (b) ln⁡5\ln 5 (c) ln⁡25\ln 25 (d) ln⁡52\ln \dfrac{5}{2}

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