II. Evaluate the following integrals. 4. J 9x - 5 dx 18x + 13 9x² 6

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Chapter1: Functions And Models
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### II. Evaluate the following integrals.

#### 4. 
\[ \int \frac{9x - 5}{9x^2 - 18x + 13} \, dx \]

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In this problem, you are tasked with evaluating the integral of the function \(\frac{9x - 5}{9x^2 - 18x + 13}\) with respect to \(x\). The integral involves a rational function where the numerator is a linear polynomial and the denominator is a quadratic polynomial. Techniques such as partial fraction decomposition or substitution may be useful in solving this integral.
Transcribed Image Text:### II. Evaluate the following integrals. #### 4. \[ \int \frac{9x - 5}{9x^2 - 18x + 13} \, dx \] --- In this problem, you are tasked with evaluating the integral of the function \(\frac{9x - 5}{9x^2 - 18x + 13}\) with respect to \(x\). The integral involves a rational function where the numerator is a linear polynomial and the denominator is a quadratic polynomial. Techniques such as partial fraction decomposition or substitution may be useful in solving this integral.
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