Mathematics

Problem

A calculator gives the value

8.377

for

\displaystyle\int_{0}^{\pi/3} (4\sin\theta)^{2}\,d\theta

. What is the approximate area, in square units, enclosed by

r=4\sin\theta

for

0\le\theta\le\pi/3

? a)

2.09

4.19

8.38

1.00