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Find the area bounded by the curve y = sinx between x = 0 and x = 2π. - Mathematics

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प्रश्न

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

बेरीज
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उत्तर


Required area = `int_0^pi sinx  "d"x + int_pi^(2pi) |sin x|"d"x`

= `-[cos x]_0^pi + |(- cos x)|_pi^(2pi)`

= `=[cos pi - cos 0] + [cos 2pi - cos pi]`

= `-[-1 - 1] + [1 + 1]`

= 2 + 2

= 4 sq.units

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पाठ 8: Application Of Integrals - Exercise [पृष्ठ १७७]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
पाठ 8 Application Of Integrals
Exercise | Q 17 | पृष्ठ १७७
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