Area Bounded by Curves sin x cos x.

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Presentation transcript:

Area Bounded by Curves sin x cos x

Area Bounded by Curves (Integrating w.r.t. x) Let f and g be continuous functions. Let R be the region bounded above by y = g(x), below by y = f (x), on the left by x = a and on the right by x = b. Then R has area

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Area Bounded by Curves (Integrating w.r.t. y) Let f and g be continuous functions. Let R be the region bounded on the right by x = g(y), on the left by x = f (y), below by y = c and above by y = d. Then R has area

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Problems Where The Graph Isn’t Given Find the area of the region enclosed by the curves. x = 2y2 x = 2 – y2 y = x2 – 2x + 1 y = 4 – x2