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Trigonometric substitution: Some integrals that don’t start out involving trigonometric functions can be cleverly converted into ones that do, and then we can bring the techniques of this section to bear. In the next few problems this is how we will solve the integral

dxx1-x2

Short Answer

Expert verified

Answer isdx=cosudu

Step by step solution

01

Step 1. Given information

An integral isdxx1-x2

02

Step 2. Explanation

u=sin-1xx=sinudx=cosudu

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