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

Question

The area bounded by the x-axis and y=cosx and y=sinx when 0 < x < pi/2 Pls reply with the best soln as fast as possible !!! Always gonna be approved !!!

vikas askiitian expert · Answer

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

ramendra bahadur singh · Answer

ITS AREA =2-ROOT2 Sq.UNITS

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The area bounded by the x-axis and y=cosx and y=sinx when 0 x pi/2 Pls reply with the best soln as fast as possible !!! Always gonna be approved !!!

The area bounded by the x-axis and y=cosx and y=sinx when 0<x<pi/2

Pls reply with the best soln as fast as possible !!!

Always gonna be approved !!!

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