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How to Find the Area Enclosed by Curves Using Any Axes

How to Find the Area Enclosed by Curves Using Any Axes

Finding the area between curves is a fundamental concept in integral calculus that involves computing the region enclosed by two or more functions over a specific interval. This is achieved by integrating the difference between the functions. The method depends on how the functions are defined: if they are functions of \( x \), use […]

Volume Calculation Method of Cross-Sections

Volume Calculation Method of Cross-Sections

The cross-section method calculates the volume of a solid by integrating the area of its cross-sectional slices. These slices, perpendicular to an axis, vary in shape and size along the solid. By summing their areas, this method effectively builds up the total volume, useful for irregular shapes or when the solid lacks symmetry.

Ease Your Integration: The Partial Fractions Technique

Ease Your Integration: The Partial Fractions Technique

Average Value of a Curve

Average Value of a Curve

Integral Approach to Cumulative Growth

Integral Approach to Cumulative Growth