# Calculus 2

## Learn everything from Calculus 2, then test your knowledge on 275+ quiz questions

How this Calculus 2 course is set up to make complicated math easy:

This approximately 200-lesson course includes video and text explanations of everything from Calculus 2, and it includes more than 275 quiz questions (with solutions!) to help you test your understanding along the way. Calculus 2 is organized into the following sections:

• Integrals
• Methods of Integration
• Applications of Integrals
• Polar & Parametric
• Sequences & Series

And here’s what you get inside of every lesson:

Videos: Watch over my shoulder as I solve problems for every single math issue you’ll encounter in class. We start from the beginning... I explain the problem setup and why I set it up that way, the steps I take and why I take them, how to work through the yucky, fuzzy middle parts, and how to simplify the answer when you get it.

Notes: The notes section of each lesson is where you find the most important things to remember. It’s like Cliff Notes for books, but for math. Everything you need to know to pass your class and nothing you don’t.

Quizzes: When you think you’ve got a good grasp on a topic within a course, you can test your knowledge by taking one of our quizzes. If you pass, wonderful. If not, you can review the videos and notes again or ask me for help in the Q&A section.

Here's what some of my Calculus 2 students have told me:

“Excellent Quality course. I just finished Calculus 1 and wanted to start learning calculus 2. The instructor gives you quick feedback and is very clear on every example she posts. I highly recommend this course for anyone who wants to learn more about integrals.” - Nick Z.

“This is a superior course. I have taken MOOC Calculus courses now through Ohio State, and MIT (also superior). Krista King is an excellent instructor, with superior knowledge, and nails down precisely what one needs to know, and also provides superior supportive notes.” - Snowcrash

“Krista is saving my butt in my Calc2 class. I always review her videos and do practice problems before my quizzes and exams.” - Nye W.

“Krista's energy and thoroughness make sitting through an explanation simple and motivating. There are loads of examples, with quizzes to check your progress, and detailed explanations on ALL the quiz questions. Plus she answers questions quickly and is very professional! Worth every penny, bought her whole series. It will also help with physics and economics, as she includes relevant explanations and exercises for applications in those topics as well. Got an A in calc 1 online because of her calc 1 course, and now I have gotten an A in calc 2 online as a first time student of it and in a summer semester (shortened!) Thank god I have her calc 3 course, I know I will need it next semester!” - Jennifer L.

“I just can't get over how well she teaches her classes. I have now taken all 3 of her Calculus classes and I really do have a strong understanding of calculus concepts. If only more people could teach the way she does. These concepts that seem so hard she has made easy and clear. My favorite part are the quizzes. She has just enough gotcha's to really get you thinking and remembering concepts. I really just cannot say enough good things about this course and the teacher!” - Morgan G.

“The instructor goes through every little step no matter how minor. It makes learning the material fun! Thank you so much for this wonderful and detailed course!” - Immanuel W.

“This is the second of three courses I have purchased from Krista and she does an incredible job of breaking down the complicated concepts into easy to understand steps. Her courses are very thorough and include a variety of different methods of instruction. Well thought out course. Thank you Krista!!!” - John C.

Krista King

Math class was always so frustrating.

I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half.

I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

So I started tutoring to keep others out of that aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all.

## Course Path

Getting started
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Antiderivatives and indefinite integrals
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Definite integrals
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Riemann sums
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Other approximation methods
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Error bounds
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Fundamental theorem of calculus
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U-substitution
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Integration by parts
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Partial fractions
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Trigonometric integrals
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Trigonometric substitution
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Improper integrals
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Reduction formulas
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Area between curves
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Arc length
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Average value
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Surface area of revolution
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Volume of revolution
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Work
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Physics
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Geometry
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Economics
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Probability
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Biology
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Introduction to parametric curves
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Calculus with parametric curves
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Introduction to polar curves
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Calculus with polar curves
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Introduction to sequences
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Partial sums
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Geometric series
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Telescoping series
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Basic convergence tests
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Comparison tests
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Ratio and root tests
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Alternating series test
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Power series
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Taylor series
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Maclaurin series
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Final exam
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