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  • Find the area bounded by the curve y = sin x between x = 0 and x = 2π.

Q : 5  Find the area bounded by the curve \small y=\sin x  between \small x=0  and  \small x=2\pi. 

Answers (1)

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The graph of y=sinx is as follows

We need to find the area of the shaded region 

ar(OAB)+ar(BCD)

=2ar(OAB)

\\=2\times \int_{0}^{\pi }sinxdx\\ =2\times [-cosx]_{0}^{\pi }\\ =2\times [-(-1)-(-1)]\\ =4

The bounded area is 4 units.

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Sayak

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