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Calculus Contents: Applications of Integration

Average Value

Average value of a centered parabola on [-3, 3]

Average value of a portion of a parabola on [1, 4]

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Area between Curves

Area under a Cosine Cosine bounding an area
Area bounded by a parabola and a line Parabola bounding an area
Area of a triangle determined by 3 points
Area bounded by two cosines Two Cosines bounding an area
Area bounded by two exponentials Two Exponentials bounding an area
Area between 2 quadratics


Area between a linear and a quadratic


Area between a linear and parabola along x

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Solids of revolution

Disk method: parabola about x axis


Shell method: axis along x axis: Cone with a hole


Shell method: axis along y-axis: Cone with a hole

















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