The area bounded by the x-axis and y=cosx and y=sinx when 0

f(x) = cosx , g(x) = sinx

these two curves intersect at x = pi/4 ,now draw the graphs & u will observe  that this area

is divided  by x = pi/4 so one half area is under sinx & other half is under cosx so area is

A = A₁ + A₂

A =  A₁ = (sinxdx) lim from 0 to pi/4    +    A_{2 =} (cosxdx)lim from pi/4 to pi/2

A =  (1  -  1/root2)       +     (1 - 1/root2)

A = 2 - root2 square units

ITS AREA =2-ROOT2 Sq.UNITS