du uu2 a2 1 a arcsec u a C
Chapter 5, Problem 89(choose chapter or problem)
Verifying Integration Rules In Exercises 87– 89, verify each rule by differentiating. Let a > 0.
\(\int \frac{d u}{u \sqrt{u^{2}-a^{2}}}=\frac{1}{a} \operatorname{arcsec} \frac{|u|}{a}+C\)
Text Transcription:
\int \frac{d u}{u \sqrt{u^{2}-a^{2}}}=\frac{1}{a} \operatorname{arcsec} \frac{|u|}{a}+C
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