Find the area bounded by the curves `y=s in xa n dy=cosx`
between two consecutive points of the intersection.
Text Solution
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Two consecutive points of intersection of `y= sin x and y= cos x` can be taken as `x=pi//4 and x=5pi//4.` Therefore, `"Required area "=int_(pi//4)^(5pi//4)(sin x- cos x)dx` `=[-cos x - sin x]_(pi//4)^(5pi//4)` `=(2)/(sqrt(2))+(2)/(sqrt(2))` `=2sqrt(2)` sq. units
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