Find the integral.

{eq}\displaystyle \int \frac{1}{(5 + 4\cos x)}\text{ d}x {/eq}


Find the integral.

{eq}\displaystyle \int \frac{1}{(5 + 4\cos x)}\text{ d}x {/eq}


Being familiar with common forms of integral is vital to efficiently evaluate a complex integral. This is especially true for integral results involving trigonometric functions. For example, the integral {eq}\displaystyle \int {\dfrac{1}{{{a^2} + {x^2}}}\text{ d}x} {/eq} can be directly written as {eq}\displaystyle \int {\dfrac{1}{{{a^2} + {x^2}}}\text{ d}x = \dfrac{1}{a}} {\tan ^{ - 1}}\left( {\dfrac{x}{a}} \right) {/eq}.

Answer and Explanation: 1

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Given data

$$\int {\dfrac{1}{{5 + 4\cos x}}} \text{ d}x \\ $$

Let {eq}I{/eq} represent the given integral.

$$I = \int {\dfrac{1}{{5 + 4\cos x}}}...

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Integration Problems in Calculus: Solutions & Examples


Chapter 13 / Lesson 13

Learn what integration problems are. Discover how to find integration sums and how to solve integral calculus problems using calculus example problems.

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