# 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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