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Cheat Sheets & Tables
Algebra, Trigonometry and Calculus cheat sheets and a variety of tables.
Class Notes
Each class has notes available. Most of the classes have practice problems with solutions available on the practice problems pages. Also most classes have assignment problems for instructors to assign for homework (answers/solutions to the assignment problems are not given or available on the site).
Algebra
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Calculus I
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Calculus II
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Calculus III
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Practice Problems
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Differential Equations
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Notes
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Extras
Here are some extras topics that I have on the site that do not really rise to the level of full class notes.
Algebra/Trig Review
Common Math Errors
Complex Number Primer
How To Study Math
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Current Location : Calculus II (Assignment Problems) / Integration Techniques / Integrals Involving Roots
Calculus II
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Integration Techniques
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Integration by Parts
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Integrals Involving Trig Functions
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Trig Substitutions
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Partial Fractions
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Integrals Involving Roots
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Integrals Involving Quadratics
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Integration Strategy
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Improper Integrals
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Comparison Test for Improper Integrals
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Approximating Definite Integrals
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Applications of Integrals
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Arc Length
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Surface Area
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Center of Mass
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Hydrostatic Pressure
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Probability
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Parametric Equations and Polar Coordinates
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Parametric Equations and Curves
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Tangents with Parametric Equations
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Area with Parametric Equations
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Arc Length with Parametric Equations
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Surface Area with Parametric Equations
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Polar Coordinates
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Tangents with Polar Coordinates
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Area with Polar Coordinates
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Arc Length with Polar Coordinates
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Surface Area with Polar Coordinates
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Arc Length and Surface Area Revisited
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Series & Sequences
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Sequences
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More on Sequences
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Series - The Basics
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Series - Convergence/Divergence
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Series - Special Series
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Integral Test
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Comparison Test/Limit Comparison Test
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Alternating Series Test
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Absolute Convergence
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Ratio Test
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Root Test
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Strategy for Series
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Estimating the Value of a Series
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Power Series
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Power Series and Functions
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Taylor Series
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Applications of Series
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Binomial Series
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Vectors
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Vectors - The Basics
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Vector Arithmetic
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Dot Product
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Cross Product
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3-Dimensional Space
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The 3-D Coordinate Systems
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Equations of Lines
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Equations of Planes
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Quadric Surfaces
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Functions of Several Variables
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Vector Functions
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Calculus with Vector Functions
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Tangent, Normal and Binormal Vectors
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Arc Length with Vector Functions
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Curvature
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Velocity and Acceleration
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Cylindrical Coordinates
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Spherical Coordinates
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If you know exactly which file you'd like to download or you want a file different from any listed below you can go directly to the
Download Page
to get it.
Calculus II
- Complete book download links
Notes
File Size : 2.73 MB Last Updated : Tuesday November 21, 2017
Practice Problems
File Size : 335 KB Last Updated : Sunday January 15, 2017
Practice Problems Solutions
File Size : 2.68 MB Last Updated : Wednesday July 12, 2017
Assignment Problems
File Size : 443 KB Last Updated : Sunday January 28, 2018
Integration Techniques
- Complete chapter download links
Notes
File Size : 613 KB Last Updated : Tuesday July 25, 2017
Practice Problems
File Size : 143 KB Last Updated : Monday June 6, 2016
Practice Problems Solutions
File Size : 797 KB Last Updated : Tuesday February 9, 2016
Assignment Problems
File Size : 163 KB Last Updated : Monday June 6, 2016
Integrals Involving Roots
- Complete section download links
Notes
File Size : 110 KB Last Updated : Tuesday February 14, 2012
Practice Problems
File Size : 78 KB Last Updated : Thursday May 10, 2012
Practice Problems Solutions
File Size : 89 KB Last Updated : Thursday May 10, 2012
Assignment Problems
File Size : 69 KB Last Updated : Thursday May 10, 2012
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Short Answer :
No.
Long Answer :
No.
Long Answer with Explanation :
I'm not trying to be a jerk with the previous two answers but the answer really is "No". Here's why.
My first priority is always to help the students who have paid to be in one of my classes here at Lamar University (that is my job after all!). I also have quite a few duties in my department that keep me quite busy at times. All this means that I just don't have a lot of time to be helping random folks who contact me via this website. I would love to be able to help everyone but the reality is that I just don't have the time. So, because I can't help everyone who contacts me for help I don't answer any of the emails asking for help.
Also, when I first started this site I did try to help as many as I could and quickly found that for a small group of people I was becoming a free tutor and was constantly being barraged with questions and requests for help. Unfortunately there were a small number of those as well that were VERY demanding of my time and generally did not understand that I was not going to be available 24 hours/day, 7 days/week for help. I really got tired of dealing with those kinds of people and that was one of the reasons (along with simply getting busier here at Lamar) that made me decide to quit answering any email asking for help.
So, while I'd like to answer all emails for help, I can't and so I'm sorry to say that all emails requesting help will be ignored.
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Answer/solutions to the assignment problems do not exist. Those are intended for use by instructors to assign for homework problems if they want to. Having solutions (and for many instructors even just having the answers) readily available would defeat the purpose of the problems. Please do not email asking for the solutions/answers as you won't get them from me.
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If you have found a typo or mistake on a page them please
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me and let me know of the typo/mistake. Please be as specific as possible in your report. Let me know what page you are on and just what you feel the typo/mistake is. It's kind of hard to find the potential typo if all you write is "The 2 in problem 1 should be a 3" (and yes I've gotten handful of typo reports like that...).
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This is a problem with some of the equations on the site unfortunately. It is especially true for some exponents and occasionally a "double prime" 2nd derivative notation will look like a "single prime". You can click on any equation to get a larger view of the equation. Clicking on the larger equation will make it go away.
If you are a mobile device (especially a phone) then the equations will appear very small. I am attempting to find a way around this but it is a function of the program that I use to convert the source documents to web pages and so I'm somewhat limited in what I can do. I am hoping they update the program in the future to address this. In the mean time you can sometimes get the pages to show larger versions of the equations if you flip your phone into landscape mode.
Another option for many of the "small" equation issues (mobile or otherwise) is to
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Is there any way to get a printable version of the solution to a particular Practice Problem?
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Yes. If you want a printable version of a single problem solution all you need to do is click on the "[Solution]" link next to the problem to get the solution to show up in the solution pane and then from the "Solution Pane Options" select "Printable Version" and a printable version of that solution will appear in a new tab of your browser.
Calculus II (Assignment Problems) / Integration Techniques / Integrals Involving Roots
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Notes
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Practice Problems
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Calculus II - Assignment Problems
Next Chapter
Applications of Integrals
Partial Fractions
Previous Section
Next Section
Integrals Involving Quadratics
Integrals Involving Roots
Evaluate each of the following integrals.
1.
2.
3.
4.
5.
6.
Partial Fractions
Previous Section
Next Section
Integrals Involving Quadratics
Next Chapter
Applications of Integrals
Calculus II (Assignment Problems) / Integration Techniques / Integrals Involving Roots
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