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Calculus II (Practice Problems)   [Notes] [Practice Problems] [Assignment Problems]

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May 5, 2016

Calculus II - Practice Problems

Here is a list of sections for which problems have been written.


Integration Techniques

Integration by Parts

Integrals Involving Trig Functions

Trig Substitutions

Partial Fractions

Integrals Involving Roots

Integrals Involving Quadratics

Integration Strategy

Improper Integrals

Comparison Test for Improper Integrals

Approximating Definite Integrals


Applications of Integrals

Arc Length

Surface Area

Center of Mass

Hydrostatic Pressure and Force



Parametric Equations and Polar Coordinates

Parametric Equations and Curves

Tangents with Parametric Equations

Area with Parametric Equations

Arc Length with Parametric Equations

Surface Area with Parametric Equations

Polar Coordinates

Tangents with Polar Coordinates

Area with Polar Coordinates

Arc Length with Polar Coordinates

Surface Area with Polar Coordinates

Arc Length and Surface Area Revisited


Sequences and Series


More on Sequences

Series - The Basics

Series - Convergence/Divergence

Series - Special Series

Integral Test

Comparison Test/Limit Comparison Test

Alternating Series Test

Absolute Convergence

Ratio Test

Root Test

Strategy for Series

Estimating the Value of a Series

Power Series

Power Series and Functions

Taylor Series

Applications of Series

Binomial Series



Vectors - The Basics

Vector Arithmetic

Dot Product

Cross Product


Three Dimensional Space

The 3-D Coordinate System

Equations of Lines

Equations of Planes

Quadric Surfaces

Functions of Several Variables

Vector Functions

Calculus with Vector Functions

Tangent, Normal and Binormal Vectors

Arc Length with Vector Functions


Velocity and Acceleration

Cylindrical Coordinates

Spherical Coordinates


Calculus II (Practice Problems)    [Notes] [Practice Problems] [Assignment Problems]

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