Q28 of 123 Page 22

The area bounded by the y-axis, y = cos x and y = sin x when 0 ≤ x ≤ π/2 is

The area we want is –



We’ll integrate w.r.t y, since area is enclosed by curves and y – axis.


Intersection point is at x = π/4, i.e., y = 1/√2


So, area A enclosed is –


A =


Using Integration by parts –


A =


Putting u = 1 – y2


We get du = -2y dy


A =


=


=


= π/4√2 + 1/√2 – 0 – 1 + 0 – 0 - π/4√2 + 1/√2


= √2 - 1 (Ans)

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