If denotes the area bounded by ,

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

If AA denotes the area bounded by f(x)=∣sin⁡x+cos⁡xx∣f(x) = \left| \frac{\sin x + \cos x}{x} \right|, X-axisX\text{-axis}, x=πx = \pi and x=3πx = 3\pi, then (1) 1<A<21 < A < 2 (2) 0<A<20 < A < 2 (3) 2<A<32 < A < 3 (4) None of these

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