Verifying a Formula In Exercises 4752, verify the integration formula

Chapter 8, Problem 47

(choose chapter or problem)

In Exercises 47-52, verify the integration formula.

\(\int \frac{u^{2}}{(a+b u)^{2}} d u=\frac{1}{b^{3}}\left(b u-\frac{a^{2}}{a+b u}-2 a \ln |a+b u|\right)+C\)

Text Transcription:

int u^2 / (a + bu)^2 du = 1 / b^3 (bu - a^2 / a + bu} - 2a ln |a + bu|) + C

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