By means of the substitution $x = 3\sec \theta$, find the exact value of \(\displaystyle\displayst

Question

By means of the substitution $x = 3\sec \theta$, find the exact value of $\displaystyle\displaystyle \displaystyle\int_{3}^{6} \frac{\sqrt{x^{2} - 9}}{x} dx$.

Accepted Answer

$3\left[ \sqrt{3}-\frac{\pi }{3} \right]$

Techniques of Integration - Integration by Substitution

Techniques of Integration - Integration by Substitution

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