The integral mean value theorem

About this app

Find the average height of a function as an equal-area rectangle. Drag interval boundaries and locate a point where the function equals its average.

Subject: Analysis (one-dimensional)

More from Analysis (one-dimensional)

• Derivative as a sequence of secants
• Bounded growth
• Exponential growth and decay
• Optimisation: the largest rectangle
• Area between curves
• Area function is an antiderivative
• Sequential continuity
• Rational functions and asymptotes

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