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Substitution Rule. Substitution Rule. Basic Problems. Example (1). Example (2). Example (3). Example (4). Example (5). Example (6). Substitution Rule. Definite Integral Case. Example (1). Example (2). Example (3). Substitution Rule. More Challenging Problems. Example (1).
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Substitution Rule Basic Problems
Substitution Rule Definite Integral Case
Substitution Rule More Challenging Problems
The double angle formulas can simplify these problems, by replacing cos2x by (1+cos2x)/2 and sin2x by (1- cos2x)/2
Note: If the problems were what we have below, then his would be like the basic examples. Do them!
* See also Examples 2 to 6of Section 5.5** Do the following Problems of Section 5.5 Exercises:13-1617-3239-5253-5860-74