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Majeka9teeagbenDea2 Majeka9teeagbenDea2
  • 06-02-2017
  • Mathematics
Answered

the area of the first quadrant bounded by the y-axis, the line y=4-x, and the graph of y=x-cosx is approximately

Verified Answer :

LammettHash
LammettHash LammettHash
  • 07-02-2017

The curves \(y=4-x\) and \(y=x-\cos x\) intersect at approximately \(x\approx1.8582\). The area is then

\(A\approx\displaystyle\int_0^{1.8582}((4-x)-(x-\cos x))\,\mathrm dx=\int_0^{1.8582}(4-2x+\cos x)\,\mathrm dx\approx4.9389\)

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