HSC Science (General) 12th Board ExamMaharashtra State Board
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# Find the area of the region bounded by the curve y = sinx, the lines x=-π/2 , x=π/2 and X-axis - HSC Science (General) 12th Board Exam - Mathematics and Statistics

ConceptArea of the Region Bounded by a Curve and a Line

#### 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

2013-2014 (October) (with solutions)
Question 4.2.5 | 2.00 marks

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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.
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