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Chapter 5: Q 6. (page 451)

Find three integrals in Exercises 21鈥�66 that can be solved by applying Pythagorean identities to set up simple u-substitutions.

Short Answer

Expert verified

鈭�sin23xdx鈭�cos2xdx鈭�cos4xdx

Step by step solution

01

Step 1. Given information

Pythagorean identities are to be used.

02

Step 2. Explanation

Pythagorean identities are as follows:

sin2x+cos2x=1sec2x-tan2x=1csc2x-cot2x=1

Following integrals can be solved by applying Pythagorean identities to set up simple u-substitutions:

鈭�sin23xdx鈭�cos2xdx鈭�cos4xdx

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