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Sample Substitution Questions for Integrating Polynomials

This document provides a series of sample questions focused on the technique of substitution in calculus. Specifically, it discusses how to substitute a variable ( u ) into an original equation and apply integration techniques, such as increasing the power by one and dividing by the new power. Key concepts like derivatives and specific substitution examples, such as letting ( u = 1 + 2x ), are included to help reinforce these integration methods. Ideal for students looking to enhance their understanding of polynomial integration.

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Sample Substitution Questions for Integrating Polynomials

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  1. Sample questions for substitution From page 442

  2. 1.

  3. Substituting the u into the original equation and integrate by adding one to the power and dividing by that new power for polynomials.

  4. #7 • You need to remember that the derivative of • Therefore, the

  5. let u=1+2x

  6. #11

  7. #9

  8. #35

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