Express the given integrand as a sum of partial fractions, then evaluate the integrals. integral...
Question:
Express the given integrand as a sum of partial fractions, then evaluate the integrals.
{eq}\displaystyle \int \dfrac {5 x^2 - 17}{x^4 - 1}\ dx {/eq}
Integration with Partial Fractions Method:
In mathematics, the integration by parts method is used to integrate any complex rational function by expressing it as a sum of two or more simple fractions and helps to rewrite the integrand in the simplest form that can be easily integrated. In the rational function, the degree of the numerator should be less than the degree of the denominator.
Answer and Explanation: 1
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Given Data:
- The given problem is: {eq}\int {\dfrac{{5{x^2} - 17}}{{{x^4} - 1}}} dx {/eq}.
First, we rewrite the integrand as:
{eq}\begin{align*...
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