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Integrating by Substitution Lecture Notes page 1 Sample Problems Compute each of the following integrals. 1. 2. Z 8 Z e 4x DX 7. 8. e 4x DX 0 3. 4. Z 9. 5. Z x2 x3 2 6x DX (LN x)8 + 1 DX x 10. 11.
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Integration by substitution, also known as u-substitution, is a method used in calculus to simplify integrals by replacing variables with simpler functions.
Integration by substitution is a concept taught in mathematics courses and is not a filing requirement for any specific group of individuals or organizations.
To perform integration by substitution, one must identify a suitable substitution function, rewrite the integrand in terms of the new variable, and integrate the simplified expression.
The purpose of integration by substitution is to make it easier to solve complex integrals by transforming them into simpler forms that can be more easily evaluated.
When performing integration by substitution, it is important to report the substitution function used and the steps taken to simplify the integral.
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