Antiderivative Rules
Antiderivative Rules Cheat Sheet Learn how to find the antiderivatives of different combinations of functions using the antiderivative rules. see the formulas and examples for power, chain, product, quotient, and other rules of antidifferentiation. 4.10.1 find the general antiderivative of a given function. 4.10.2 explain the terms and notation used for an indefinite integral. 4.10.3 state the power rule for integrals. 4.10.4 use antidifferentiation to solve simple initial value problems.
Antiderivative Rules Learn how to find antiderivatives of functions using the reverse of differentiation and the general form of an antiderivative. see examples of antiderivatives of polynomials, rational functions, trigonometric functions and exponential functions. Learn how to find antiderivatives of functions and their applications in rectilinear motion. antiderivatives are functions with derivatives equal to the given functions. see examples, definitions, and theorems. Definition: antiderivative. a function f is an antiderivative of the function f if. [math processing error] for all x in the domain of f. consider the function f(x) = 2x. knowing the power rule of differentiation, we conclude that f(x) = x2 is an antiderivative of f since f′ (x) = 2x. Learn how to find antiderivatives of common functions using the rules of antidifferentiation, which are the reverses of the derivative rules. see examples of how to use antiderivatives to evaluate definite integrals exactly.
Antiderivative Rules Definition: antiderivative. a function f is an antiderivative of the function f if. [math processing error] for all x in the domain of f. consider the function f(x) = 2x. knowing the power rule of differentiation, we conclude that f(x) = x2 is an antiderivative of f since f′ (x) = 2x. Learn how to find antiderivatives of common functions using the rules of antidifferentiation, which are the reverses of the derivative rules. see examples of how to use antiderivatives to evaluate definite integrals exactly. Learn how to find antiderivatives of basic functions using the indefinite integral notation and the rules of integration. see examples of power, constant, sum, and trigonometric antiderivatives. Learn how to find antiderivatives, the reverse of derivatives, using formulas for powers of x and trigonometric functions. watch video lessons, see examples and solutions, and use the free mathway calculator and problem solver.
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