Find the area of the region bounded by the graph of the equation =sin 2x, y=0, x=0, x=pi /2

kvasilw0

kvasilw0

Answered question

2022-08-07

Find the area of the region bounded by the graph of the equation = sin 2 x , y = 0 , x = 0 , x = π / 2

Answer & Explanation

Luna Wells

Luna Wells

Beginner2022-08-08Added 19 answers

Area under the curve is given by:
0 π / 2 sin ( 2 x ) d x
= [ 1 2 cos ( 2 x ) ] 0 π / 2
= ( 1 / 2 ) cos ( 2 π / 2 ) ( ( 1 / 2 ) cos ( 0 ) ) = ( 1 / 2 ) ( 1 ) + ( 1 / 2 ) = 1

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