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Solve the given integral by the method of partial fractions: \int sec^2(x) / (tan^3(x) -...

Question:

Solve the given integral by the method of partial fractions:

{eq}\int sec^2(x) / (tan^3(x) - tan^2(x)) dx {/eq}

Indefinite Integrals:

The method of the partial fraction is used to solve the indefinite or the definite integrals when we see that the integrals are easier to solve after separating them. The separating of integrals is done using the partial fraction method.

Answer and Explanation: 1

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We will solve the given indefinite integral is solved as follows:

{eq}\begin{align} \int \frac{sec^2(x)}{(tan^3(x) - tan^2(x))} dx &= \int...

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Indefinite Integrals as Anti Derivatives

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Chapter 12 / Lesson 11
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Indefinite integrals, an integral of the integrand which does not have upper or lower limits, can be used to identify individual points at specific times. Learn more about the fundamental theorem, use of antiderivatives, and indefinite integrals through examples in this lesson.


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