Q.
Area bounded by the curves y=sinx and y=cosx between two consecutive points of the intersection.
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a
1
b
2
c
3
d
4
answer is A.
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Detailed Solution
Two consecutive points of intersection of y=sinx and y=cosx can be taken as x=π/4 and x=5π/4 . Therefore, Required area =∫π/45π/4 (sinx−cosx)dx=[−cosx−sinx]π/45π/4=22+22=22 sq. units
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