Find the integral using the trig substitution x = 6 \ sin \ \theta. \int \frac {1}{\sqrt {36-...

Question:

Find the integral using the trig substitution {eq}x = 6 \ sin \ \theta. {/eq}

{eq}\int \frac{1}{\sqrt{36- x^2}} \ dx {/eq}

Integrals Using Substitution:

The substitution of the integral with the trigonometric ratio like sine, cosine or the tangent is the method called as a trigonometric substitution. The formula that we use is the same for al type of the method of substitution, and that is: {eq}\int \:f\left(g\left(x\right)\right)\cdot \:g'\left(x\right)dx {/eq}

Answer and Explanation: 1

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In the problem, we have to find the integral using the trig substitution {eq}\displaystyle x = 6 \ sin \ \theta. {/eq}

The integral given to us...

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How to Solve Integrals Using Substitution

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Chapter 13 / Lesson 5
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Explore the steps in integration by substitution. Learn the importance of integration with the chain rule and see the u-substitution formula with various examples.


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