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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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Problem

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.
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