Question

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

Answer 1

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