find the area under the cosine curve from 1 to b where 0 is lesser than or equal to b lesser than or equal to 90 degree
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Step-by-step explanation:
Answer
y=cosx,x=0 and x=π is shaded area
Area=∫
0
π/2
ydx+∫
π/2
π
ydx
=∫
0
π/2
(cosx−0)dx+∫
π/2
π
(0−cosx)dx
=∫
0
π/2
cosx−∫
π/2
π
cosxdx
=∣sinx∣
0
π/2
−∣sinx∣
π/2
π
=[1−0]−[0−1]
=2 sq.units
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