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ExploreCalculusApplications of integration

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Calculus

# Applications of integration

• Finding the average value of a function on an interval
• Connecting position, velocity, and acceleration functions using integrals
• Using accumulation functions and definite integrals in applied contexts
• Finding the area between curves expressed as functions of x
• Finding the area between curves expressed as functions of y
• Finding the area between curves that intersect at more than two points
• Volumes with cross sections: squares and rectangles
• Volumes with cross sections: triangles and semicircles
• Volume with disc method: revolving around x- or y-axis
• Volume with disc method: revolving around other axes
• Volume with washer method: revolving around x- or y-axis
• Volume with washer method: revolving around other axes
• The arc length of a smooth, planar curve and distance traveled
• Calculator-active practice