Find the areas of the indicated regions.

Choose the correct letter for each question
-256
A)between $y = 2 x ^ { 3 }$ and $y = 0$ for x in $[ - 4,4 ]$
B)between $y = x ^ { 2 }$ and $y = - 5$ for x in $[ - 4,4 ]$
C)between $y = - x$ and $y = x$ for x in $[ 0,5 ]$

Question

Find the areas of the indicated regions.

Choose the correct letter for each question
-256
A)between $y = 2 x ^ { 3 }$ and $y = 0$ for x in $[ - 4,4 ]$
B)between $y = x ^ { 2 }$ and $y = - 5$ for x in $[ - 4,4 ]$
C)between $y = - x$ and $y = x$ for x in $[ 0,5 ]$

Quizplus · Accepted Answer

The area between $y = 2x^3$ and $y = 0$ from $[-4, 4]$ is calculated by integrating $2x^3$ from $-4$ to $4$. Since the function is symmetric about the y-axis and odd, the area is zero.

Find the Areas of the Indicated Regions y=2x3y = 2 x ^ { 3 }y=2x3

Find the Areas of the Indicated Regions $y = 2 x ^ { 3 }$