(Solved): Choose the appropriate trigonometric substitution for evaluating the integral \[ \int\left(\frac{1} ...

Choose the appropriate trigonometric substitution for evaluating the integral \[ \int\left(\frac{1}{\left(x^{2}-14 x+53\right)^{3 / 2}}\right) d x \] \[ \begin{array}{l} x=2 \tan (\theta)+7 \\ x=2 \tan (\theta) \\ x=2 \sec (\theta)+7 \\ x=\sec (\theta)+7 \end{array} \]