127k views
1 vote
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

User Ania David
by
6.9k points

1 Answer

4 votes
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
User Kball
by
7.1k points