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One of the reasons so many students are required to study calculus is the hope that it will improve their problem-solving skills. In this class, you will learn lots of
A summary of the main ideas in course MATH 214-2: Integral Calculus, with examples and formulas. The notes cover topics such as integrals, applications of integration, differential equations, infinite sequences and series, and power series.
Differential Calculus finds Function .2/ from Function .1/. We recover the speedometer information from knowing the trip distance at all times. Integral Calculus goes the other way. The “integral” adds up small pieces, to get the total distance traveled. That integration brings back Function .1/.
Integral Calculus provides methods for calculating the total effect of such changes, under the given conditions. The phrase rate of change mentioned above stands for the actual rate of
Learn how to use basic integration formulas, substitution, complete the square, trig identities, and integration by parts to evaluate integrals. See examples, definitions, and explanations of the methods and formulas.
Download the complete textbook (PDF) of Calculus, a useful resource for educators and self-learners. It covers single variable and multivariable calculus in depth, with applications, videos, and exercises.
Learn the idea and technique of integration, from the fundamental theorem to antiderivatives and formulas. See examples, graphs, and exercises on integrals of functions, areas, and velocities.
