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Area Between Curves with Respect to y
Worksheet
Grade Level
Calculus II
CAL2.57 Area Between Curves with Respect to y
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The region R is enclosed by \(x=y
3
-3y\) and the y-axis. Which dy-integral gives the total area?
A
\(\int_{-\sqrt{3}}
\sqrt{3
}[(y
3
-3y)-(0)]\,dy\)
B
\(\int_{-\sqrt{3}}
0
[(y
3
-3y)-(0)]\,dy+\int_{0}
\sqrt{3
}[(0)-(y
3
-3y)]\,dy\)
C
\(\int_{-\sqrt{3}}
0
[(0)-(y
3
-3y)]\,dy+\int_{0}
\sqrt{3
}[(y
3
-3y)-(0)]\,dy\)
D
\(\int_{0}
\sqrt{3
}[(0)-(y
3
-3y)]\,dy\)
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