Consider the function on the interval

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Consider the function

h(x)=2\sin x-1

on the interval

[0,2\pi]

. What is the exact total area of the region bounded by the graph of

h

and the

x

-axis on this interval? (a)

4\sqrt{3}-\dfrac{2\pi}{3}

(b)

4\sqrt{3}+\dfrac{4\pi}{3}

(c)

4\sqrt{3}+\dfrac{2\pi}{3}

(d)

2\sqrt{3}+\dfrac{4\pi}{3}