Trigonometric Substitution for Integrals: Example 7

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In this video I go over yet another example on trig substitution for integrals and this time solve the integral of the function x/sqrt(3-2x-x2). In this example we first have to rewrite the function inside the square root by completing the square and using regular substitution to make it in the form we are familiar with to apply trig substitution.


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Trigonometric Substitution for Integrals: Example 7

Trig Substitution Example 7.jpeg

Example:

Solution:

To use trig substitution we first need to transform the function to make it into the form we are used to by completing the square of the function inside the square root:



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