The area of the region bounded by the y-axis, y = \cos x and y = \ | Filo
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Class 12

Math

Calculus

Application of Integrals

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The area of the region bounded by the y-axis, and is

Correct Answer: Option(b)
Solution:
Refer image 1.
Finding point of Intersection
Solving
and
Refer image 2.
At , both are equal
Also,
So,
Refer image 3.
Refer image 4.
Area
Area ABCO
Here,
Thus,
Area ABCO=
                       
                       
                        
                     

Refer image 5.
Area
Area BCO
Here,
Thus,
Area BCO =
                       
                       
                        
                     
Therefore
Area Required = Area ABCD - Area BCO
                     
                     
                     
                     
Option is correct.
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