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Use Trigonometric Substitution to find or evaluate the integral: \int \frac{-12}{x^2\sqrt{4 -...

Question:

Use Trigonometric Substitution to find or evaluate the integral:

{eq}\int \frac{-12}{x^2\sqrt{4 - x^2}}dx {/eq}

Integration:

The integral increases the degree of the function. It provides the original function with the help of integration. It is also known as the antiderivative. Integration is the sum of all sub rectangles with the subintervals of the given limit.

Answer and Explanation: 1

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Given a function {eq}\int \frac{-12}{x^2\sqrt{4 - x^2}}dx {/eq}.

Let {eq}x=2\sin \theta {/eq} and differentiate for {eq}x {/eq} then, {eq}dx=2\cos...

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Using Integration By Parts

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Chapter 13 / Lesson 7
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Learn how to use and define integration by parts. Discover the integration by parts rule and formula. Learn when and how to use integration by parts with examples.


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