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Learn how to use integration rules to find areas, volumes and other useful things. See examples of common functions, power rule, sum and difference rules, and integration by parts and substitution.
Integral of a constant \int f\left (a\right)dx=x\cdot f\left (a\right) Take the constant out \int a\cdot f\left (x\right)dx=a\cdot \int f\left (x\right)dx. Sum Rule \int f\left (x\right)\pm g\left (x\right)dx=\int f\left (x\right)dx\pm \int g\left (x\right)dx. Add a constant to the solution.
Learn how to integrate different types of functions using integration rules. Find the basic, trigonometric, inverse trigonometric and special function rules with examples and practice problems.
Learn the basic and important rules of integration for different types of functions, such as constant, variable, square, reciprocal, exponential and trigonometric. Also, find out how to use integration by parts and substitution methods with solved examples and FAQs.
Learn how to define, approximate, and evaluate integrals using Riemann sums, limits, and the fundamental theorem of calculus. Explore the properties and applications of integrals and antiderivatives with examples and exercises.
Learn and practice the integration rules for polynomials, radicals, trigonometric, exponential and inverse trigonometric functions. See videos, exercises and comments from other learners.
Definite integrals also have properties that relate to the limits of integration. These properties, along with the rules of integration that we examine later in this chapter, help us manipulate expressions to evaluate definite integrals.
