The area bounded by the curves y = cos x and y = sin x between the ordinates x = 0 and x = 2 3 π is

Question

The area bounded by the curves y = cos x and y = sin x between the ordinates x = 0 and x = 2 3 π ​ is

TestHub · Accepted Answer

Required area = ∫ 0 π /4 ​ ( cos x − sin x ) d x = = ​ + ∫ π /4 5 π /4 ​ ( sin x − cos x ) d x ∫ 5 π /4 3 π /2 ​ ( cos x − sin x ) d x [ sin x + cos x ] 0 π /4 ​ + [ − cos x − sin x ] π /4 5 π /4 ​ + [ sin x + cos x ] 5 x /4 3 π /4 ​ ( 4 2 ​ − 2 ) sq units ​

Mathematics - Area Under Curves Question with Solution | TestHub

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