The shaded region is bounded by the graph of the function

\[f(x)=2+2\cos x\] and the coordinate axes.

Function f is graphed. The graph consists of curve which moves upward with decreasing steepness from the second quadrant to a maximum on the y axis, moves downward with decreasing steepness to a minimum on the x axis, then moves upward with increasing steepness. The area under the curve in the first quadrant, above the x axis, between 0 and its intercept on the x axis is shaded.

What is its area?

Choose 1 answer:

A

\[2\pi - 2\]

B

\[4+2\pi \]

C

\[2+2\pi\]

D

\[2\pi\]

E

\[2\pi - 4\]

asked by guest
on Mar 07, 2026 at 5:13 am



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