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  • Area of the region bounded by the curve y = cos x between x = 0 and x = π is A. 2 sq units B. 4 sq units C. 3 sq units D. 1 sq units

Area of the region bounded by the curve y = cos x between x = 0 and x = π is
A. 2 sq units
B. 4 sq units
C. 3 sq units
D. 1 sq units

Answers (1)

A)

The questions mentions curve y = cos x and x = 0 and x = π

Required area

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

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infoexpert22

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