1 xa bx dx 1 a ln x a bx C

Chapter 8, Problem 51

(choose chapter or problem)

In Exercises 51–54, use the method of partial fractions to verify the integration formula.

\(\int \frac{1}{x(a+b x)} \ d x=\frac{1}{a} \ln \left|\frac{x}{a+b x}\right|+C\)

Text Transcription:

int 1 / x(a+bx) dx = 1/a ln |x/a+bx| + C

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