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Find the integral {eq}\; \int \tan^9(x) \sec^4(x) \, \mathrm{d}x {/eq}.

Question:

Find the integral {eq}\; \int \tan^9(x) \sec^4(x) \, \mathrm{d}x {/eq}.

Integrals:

Certain integrals cannot be solved directly, as the given function is typical. In such cases, we make use of different methods to simplify the given function. Substitution method is one of the commonly used methods for simplification.

Answer and Explanation: 1

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{eq}\; \int \tan^9(x) \sec^4(x) \, \mathrm{d}x {/eq}

Rewritting the above, we get:

{eq}\begin{align*} \ & = \int \tan^9 x \ \sec^2 x \cdot...

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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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