devooty devooty

19-05-2017
Mathematics

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What is the area of the figure bounded by the lines: x=0; x=π/2; y=sin(x); y=1?

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mreijepatmat mreijepatmat

19-05-2017

In fact we have to calculate the integral between x=0 & x=π/2

∫sinx.dx with 0< =x< =π/2

∫sinx.dx = - cosx + c==> - cos(π/2) - [ - cos(0)] ==> 0-(-1) ==> 1

So the area = 1 unit

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