The value of

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

Problem

The value of ∫sec⁡x(2+sec⁡x)(1+2sec⁡x)2dx\int \frac{\sec x (2 + \sec x)}{(1 + 2 \sec x)^2} dx , is equal to (1) sin⁡x2+cos⁡x+C\frac{\sin x}{2 + \cos x} + C (2) cos⁡x2+cos⁡x+C\frac{\cos x}{2 + \cos x} + C (3) −sin⁡x2+sin⁡x+C\frac{-\sin x}{2 + \sin x} + C (4) cos⁡x2+sin⁡x+C\frac{\cos x}{2 + \sin x} + C

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