Calculus II 1 Flashcards

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10
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11
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22
Q

Find the area of the shaded region.

23
Q

Find the area of the shaded region.

A

e + 28/3 - 1/e

24
Q

Find the area of the shaded region.

25
Q

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle.

y = 3/x
y = 6/x^2
x = 6

26
Q

Disk and washer method formula

27
Q

Shell method formula

28
Q

Find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis.

y = 8 − 8x^2, y = 0

29
Q
30
Q

Sketch the solid obtained by rotating the region bounded by the given curves about the x-axis.

y = 8 − 8x^2, y = 0

31
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33
Q

Find the area of the region bounded by the given curves.

35
Q

Find the area of the region bounded by the given curves