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 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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