AP

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

Problem

∫x dx(x2−a2)(x2−b2)=\int \frac{x\,dx}{(x^2-a^2)(x^2-b^2)} = (a) 1a2−b2log⁡(x2−a2x2−b2)+c\frac{1}{a^2-b^2}\log\left(\frac{x^2-a^2}{x^2-b^2}\right)+c (b) 1a2−b2log⁡(x2−b2x2−a2)+c\frac{1}{a^2-b^2}\log\left(\frac{x^2-b^2}{x^2-a^2}\right)+c (c) 12(a2−b2)log⁡(x2−a2x2−b2)+c\frac{1}{2(a^2-b^2)}\log\left(\frac{x^2-a^2}{x^2-b^2}\right)+c (d) 12(a2−b2)log⁡(x2−b2x2−a2)+c\frac{1}{2(a^2-b^2)}\log\left(\frac{x^2-b^2}{x^2-a^2}\right)+c

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