The Substitution Rule

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Here are the topics of the practice problems done in order:

(11 Problems) - Using the Substitution Rule to evaluate integrals
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If you have any questions about the Substitution Rule or you need help with a practice problem related to the Substitution Rule, feel free to comment below or you can message me on Instagram; my Instagram is in the "About" page of my channel.

thecalculusgod
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On question #10, why not turn 1+x^2 into (1-x)(1+x) and cancel the (1+x) from the top and bottom leaving only 1/(1-x)?

Budgeman