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Questions  

Area bounded by the curves y=sinx and y=cosx between two consecutive points of the  intersection. 

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By Expert Faculty of Sri Chaitanya
a
1
b
2
c
3
d
4

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detailed solution

Correct option is A

Two consecutive points of intersection of y=sin⁡x and y=cos⁡x  can be taken as x=π/4 and x=5π/4 . Therefore,  Required area =∫π/45π/4 (sin⁡x−cos⁡x)dx=[−cos⁡x−sin⁡x]π/45π/4=22+22=22 sq. units


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The area bounded by the curve f(x) = x + sin x and its inverse function between the ordinates x= 0 to x = 2π, is

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