Solved: Verify the integration formulas in Exercises

Chapter 7, Problem 38E

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Verify the integration formulas in Exercises $37–40$.

$\int x \operatorname{sech}^{-1} x \ d x=\frac{x^{2}}{2} \operatorname{sech}^{-1} x-\frac{1}{2} \sqrt{1-x^{2}}+C$

Equation Transcription:

37–40

∫ $x\ sec{h}^{-1}\ x\ dx=\frac{{x}^{2}}{2}sec{h}^{-1}\ x-\frac{1}{2}\sqrt{1-{x}^{2}}\ +C$

Text Transcription:

37–40

integral x sech^-1 x dx = x^2/2 sech^-1 x - 1/2 sqrt 1 - x^2 + C

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