?In Exercises 47-52, verify the integration formula. \(\int \frac{1}{\left(u^{2} \pm a^{2}\right)^{3 / 2}} d u=\frac{\pm u}{a^{2} \sqrt{u^{2}

Chapter 8, Problem 49

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In Exercises 47-52, verify the integration formula.

\(\int \frac{1}{\left(u^{2} \pm a^{2}\right)^{3 / 2}} d u=\frac{\pm u}{a^{2} \sqrt{u^{2} \pm a^{2}}}+C\)

Text Transcription:

int 1 / (u^{2} pm a^2)^3/2 du = pm u / a^2 sqrt{u^2 pm a^2} + C

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