#### Question

Find the area of the region bounded by the curve y = sinx, the lines x=-π/2 , x=π/2 and X-axis

#### Solution

Required area=`int_(-pi/2)^(pi/2)y dx` , where y=sinx

`=2int_(-pi/2)^(pi) sinx dx`

`=2[cosx]_(-pi/2)^(pi)`

=2[1-0]

=2 sq.unit

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#### APPEARS IN

Solution Find the area of the region bounded by the curve y = sinx, the lines x=-π/2 , x=π/2 and X-axis Concept: Area of the Region Bounded by a Curve and a Line.