66Since the function sin xx is decreasing in (0, π/2). So 2π ≤ sin xx < 1.
Hence,
1\leq \int_0^{\pi/2}\dfrac{\sin x}{x}\mathrm dx<\dfrac{\pi}{2}
So (D) is correct.
Let I= ∫p/20 sinxxdx then I lies in the interval
a) (0,1)
b) [0,1]
c) [0,32]
d) [1,2)
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4 Answers
66
1Q) The area bounded by y=[x264+2], y=x-1, x=0, above the x-axis (where [.] is GIF) is
a) 1
b) 2
c) 3
d) 4
1Hint-
for -8<x<8 ......y=[x2/64 +2] =2
so u need to find area of a trapezium formed by y=2 ,y=x-1 and x=0