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21 gru 2020 · Learn how to use integration by substitution, also known as change of variables, to find antiderivatives of functions. See the theorem, the proof and several examples with step-by-step solutions.
- 8.2: u-Substitution
A somewhat neater alternative to this method is to change...
- 8.2: u-Substitution
In calculus, integration by substitution, also known as u-substitution, reverse chain rule or change of variables, [1] is a method for evaluating integrals and antiderivatives. It is the counterpart to the chain rule for differentiation, and can loosely be thought of as using the chain rule "backwards."
Learn how to use u-substitution to integrate some functions that can be written in a special form. Follow the steps and examples with detailed explanations and diagrams.
21 gru 2020 · Learn how to use u-substitution to integrate functions that involve chain rule derivatives. See examples, definitions, and explanations of the method and its applications.
Along with integration by parts, the \ (u\)-substitution is an integration technique that is frequently used for integrals that cannot be directly solved. The procedure is as follows: (i) Find the term to be substituted for, and let that be \ (u.\) (ii) Find \ (du\) \ ( (\)in terms of \ (dx).\)
\(u\) substitution is a method where you can use a variable to simplify the function in the integral to become an easier function to integrate. This technique is actually the reverse of the chain rule for derivatives.
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