Aligned Resources

Students learn about definite integrals through limits and Riemann sums

Audiences: Grades 9-12, Undergraduate

Primary Subjects: Algebra, Calculus

Related Topics: area, calculus, estimation, function properties, functions, graph, infinity, integral, integrate, intervals

This activity allows the user to find the volume and surface area of various functions as they are rotated around axes. This applet can be used to practice finding integrals using the disk and washer methods of calculating volume.

Audiences: Grades 9-12, Undergraduate

Primary Subjects: Calculus

Related Topics: calculus, cartesian coordinate, coordinate plane, coordinate system, cosine, functions, graph, sine

InteGreat! allows the user to visually explore the idea of integration through approximating the integral value with partitions. The user controls the number of partitions, the upper and lower limits, and the method used to estimate the integral.

Audiences: Grades 9-12, Undergraduate

Primary Subjects: Algebra, Calculus, Graphs

Related Topics: area, calculus, estimation, function properties, functions, graph, infinity, integral, integrate, intervals, limit