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  • The area of the region bounded by the curve y = sin x between the ordinates x = 0, x = π/2 and the x-axis is A. 2 sq units

The area of the region bounded by the curve y = sin x between the ordinates x = 0, x = π/2 and the x-axis is
A. 2 sq units
B. 4 sq units
C. 3 sq units
D. 1 sq units

Answers (1)

D)

The questions mentions y = sin x between the ordinates x = 0, x = π/2 and x axis

\\ =\int_{0}^{\frac{\pi}{2}}|\cos x| d x \\ =\int_{0}^{\frac{\pi}{2}} \sin x d x \\ =[-\cos x]_{0}^{\frac{\pi}{2}} \\ =0-(-1) \\ =1 \text { sq.units }

 

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