Volumes with Cross Sections: Squares/Rectangles
AP Calculus BC · Flashcards · Recall
AP CALCULUS BC · FLASHCARDS
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QUESTION
How do you find the volume of a solid when cross-sectional area is constant?
QUESTION
How do you express the volume of a solid with varying rectangular cross sections?
QUESTION
If
A
(
x
)
=
x
2
+
1
A(x) = x^2 + 1
A
(
x
)
=
x
2
+
1
, how do you express the volume with cross sections perpendicular to the x-axis?
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ANSWER
V
=
integral of
(
x
2
+
1
)
dx
V = \text{integral of } (x^2 + 1) \text{ dx}
V
=
integral of
(
x
2
+
1
)
dx
. Integrates the given area function over the appropriate interval.
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