Using the Partial Fraction Technique, evaluate the given integral:
{eq}\int \frac{x}{(x-9)^2} \ dx {/eq}
Question:
Using the Partial Fraction Technique, evaluate the given integral:
{eq}\int \frac{x}{(x-9)^2} \ dx {/eq}
Partial Fraction Technique:
For the partial integration technique, the function must be improper. Determine the type of denominator and then decompose it using a suitable equation. Now, expand the integration and integrate the separate functions.
Answer and Explanation: 1
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Given:
- The integral is {eq}\int {\dfrac{x}{{{{\left( {x - 9} \right)}^2}}}} dx {/eq}.
The objective is to evaluate the integral using the...
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Chapter 3 / Lesson 25Learn about how to carry out partial fraction decomposition with polynomial fractions. Discover example equations and walkthroughs of partial fraction decomposition.