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AP®︎/College Calculus AB

Course: AP®︎/College Calculus AB > Unit 8

Lesson 4: Finding the area between curves expressed as functions of x

Area between a curve and the x-axis
Area between a curve and the x-axis: negative area
Area between a curve and the x-axis
Area between curves
Worked example: area between curves
Area between two curves given end points
Area between two curves
Composite area between curves

Area between two curves given end points

AP.CALC: CHA‑5 (EU), CHA‑5.A (LO), CHA‑5.A.1 (EK)

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The curves f, left parenthesis, x, right parenthesis, equals, sine, x and g, left parenthesis, x, right parenthesis, equals, cosine, x intersect periodically.

Determine the area of the region bounded by these curves between x, equals, start fraction, pi, divided by, 4, end fraction and x, equals, start fraction, 5, pi, divided by, 4, end fraction.

(Choice A)
start fraction, square root of, 2, end square root, divided by, 4, end fraction
(Choice B)
start fraction, square root of, 2, end square root, divided by, 2, end fraction
(Choice C)
square root of, 2, end square root
(Choice D)
2, square root of, 2, end square root

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AP®︎/College Calculus AB

Course: AP®︎/College Calculus AB > Unit 8

Problem