Question

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​

Answer 1

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