?

Multivariable Calculus

Free Version

Upgrade subject to access all content

Easy

Centroid of Trigonometric Region

MVCALC-EDJGV1

Find the centroid (center of mass) of the constant density region:

$$R=\{(x,y): 0\leq y \leq \sin^2 x, 0\leq x \leq \pi\}$$

A

$(\frac{\pi}{2}, \frac{3}{8})$

B

$(\frac{\pi}{3}, \frac{1}{4})$

C

$(\pi, \frac{1}{2})$

D

$(0, \frac{1}{4})$

E

$(\frac{\pi}{4}, \frac{1}{4})$