Loading Solution   
Paul's Online Math Notes
Online Notes / Calculus II (Practice Problems)
I've been notified that Lamar University will be doing some network maintenance on April 17 during the hours of 8:00 PM through 2:00 AM Central Daylight Time and on April 26 during the hours of 7:00 AM through 5:00 PM Central Daylight Time. During these times the website will be unavailable during some or all of those times. I apologize for the inconvenience!


Notice : Currently I have problems written up for the Sequences and Series chapter. As time permits I am going to start working on problems for the Series and Sequences chapter. I don't know when updates will start being posted with those problems as unfortunately I can only work on the site during my free time and lately there hasn't been a whole lot of free time!

Please do not send me emails asking when I'm going to get problems for a specific section written. I'm working on writing problems as often as I can but I do have my own classes to teach and other duties in my department that I have to take care of. I work on this site in my free time and I don't always have as much as I'd like to have. Rest assured that I am working on adding new problems as hard as I can.

Calculus II - Practice Problems Integration Techniques

Here is a list of sections for which problems have been written. Sections in which the link is active have problems written form them and sections without an active link do not have problems written for them yet.


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


Problem Pane
Calculus II - Practice Problems Integration Techniques

Online Notes / Calculus II (Practice Problems)

[Contact Me] [Links] [Privacy Statement] [Site Map] [Terms of Use] [Menus by Milonic]

© 2003 - 2014 Paul Dawkins