Use the substitution $x = 3 \sec t$ to evaluate the integral $\int \frac{dx}{x\sqrt{x^2 - 9}}$. Note: Use C for an arbitrary constant.

          Use the substitution $x = 3 \sec t$ to evaluate the integral $\int \frac{dx}{x\sqrt{x^2 - 9}}$.
Note: Use C for an arbitrary constant.

James Stewart 8th Edition

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This means that dt = 3 sec t * tan t dt. So the integral becomes ∫ 3 sec t * tan t dt. Show more…

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Use the substitution t = 3 sec t to evaluate the integral âˆ« dt Note: Use C for an arbitrary constant

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