AP

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

Problem

\int \frac{\sin x\cos x}{a \cos^2 x + b \sin^2 x}\,dx =

(a)

\frac{1}{2(b-a)}\log(a \cos^2 x + b \sin^2 x) + c

(b)

\frac{1}{b-a}\log(a \cos^2 x + b \sin^2 x) + c

(c)

\frac{1}{2}\log(a \cos^2 x + b \sin^2 x) + c

(d) None of these