Q18 of 123 Page 22

The area between x-axis and curve y = cos x when 0 ≤ x ≤ 2π is

Let area be A.


So, area A is –


A =


Now, cos x is positive from x = 0 to x = π/2 and from x = 3π/2 to x = 2π and negative from x = π/2 to x = 3π/2.


So, A =


=


= [1 – 0] + [-(-1) + 1] + [0 – (-1)]


= 1 + 1 + 1 + 1


= 4 (Ans)

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