integralCALC
integralCALC

Whether you’re starting your first semester of calculus, or cramming for your final exam, integralCALC will help you quickly build skills with simple, step-by-step lessons.

Krista King (founder of integralCALC) worked as a calculus tutor while she was a student at the University of Notre Dame. After graduation, she started integralCALC to serve as a resource for calculus students. Since the beginning of 2010, Krista’s calculus lessons have helped students around the world and she continues to publish lessons regularly.

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Calculus I Essentials
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Need some tips for Calculus 1A? Or maybe you’re madly reviewing for tomorrow's math test? Either way, never fear - Krista, an experienced math tutor, will help you understand the world of calculus, step-by-step. Start by learning the difference between a function and an equation - and how to analyze a function's graph for continuity and limits. Then, step into the world of tangent lines, differentiation, and more. Each lesson includes examples and sample problems to help you along the way.
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Other Lessons by integralCALC

Not sure if your function is continuous? Learn to identify and solve for removable discontinuities with integralCALC as she walks through step-by-step instructions for finding values for which a function is undefined, and determining whether those values represent removable discontinuities or vertical asymptotes. She’ll also teach you how to solve for the y-value that will ‘plug the hole’ in your graph. Sometimes all you need is to see someone walk through an example start to finish!


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In the previous lesson, Krista demonstrated how to calculate the derivative of a function by taking the definition of the derivative—in this lesson, learn tricks and tips to make calculating the derivative even faster and easier! Krista shows you how to use the power, product, and quotient rules to find the derivative of polynomial functions, the product of two functions, and fractions or quotients. Though these are the main rules you’ll use, Krista also shows you how to use the chain rule!


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This example problem has it all! Learn to take the derivative of a complex natural log using the chain rule and tips from your algebra days. Follow along with integralCALC as she walks through a multi-level problem that illustrates how to apply the chain rule and natural log formula, and reminds you of how to simplify terms in complex fractions. Sometimes all you need is to see someone walk through an example start to finish!


Assignment:
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Stumped by integral notation? Wonder how to denote the constant that would disappear when taking the derivative of a function? Just plain confused about calculus? In this lesson on integrals from Krista King of IntegralCALC, build off of your knowledge of derivatives to understand how to calculate an “antiderivative” to find the exact area under a function.


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If you aren’t already a pro at solving integrals, things are about to change. Learn from Krista King how to solve an integral using three different techniques; U-substitution (Krista says this is usually the easiest and fastest way), integration by parts, or partial fractions (try this method first if you have any rational functions). Calculus just got easier!


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7:37
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Having a hard time applying the average value formula? Follow along with integralCALC as she walks through an example problem with step-by-step instructions on how to calculate the average value of a function. This lesson will remind you how to set up and evaluate the average value formula, as well as how to use u-substitution to more easily solve complicated integrals.


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