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Area, Volume, and Arc Length

Home Calculus Area, Volume, and Arc Length Exercises Arc Length Exercises Arc Length for Parametric Functions Exercises

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Exercises
Area
Assumptions When Finding Area
Triangles
Circles
Integrating with Polar Coordinates
Volumes of Solids with Known Cross-Sections
Pyramids, Cones, and Spheres
Volume of Solids of Revolution
Disks and Washers
Shells
Washers vs. Shells
Arc Length
Arc Length for Parametric Functions
Arc Length for Polar Functions

Table of Contents

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Page (1 of 4) Exercises: 1 2 3 4

Exercise 1

Write an integral expression for the length of the curve described by the parametric equations x(t) = e^t and y(t) = 2t + 1 for 0 ≤ t ≤ 4.

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