Evaluate the integral: 11x264x4dx\displaystyle \int\frac{{{11}\sqrt{{{x}^{{2}}-{64}}}}}{{x}^{{4}}}{\left.{d}{x}\right.}

(A) Which trig substitution is correct for this integral?
(B) Which integral do you obtain after substituting for x\displaystyle {x} and simplifying?
Note: to enter θ\displaystyle \theta, type the word theta.
\displaystyle \int dθ\displaystyle {d}\theta
 

(C) What is the value of the above integral in terms of θ\displaystyle \theta?
+ C
 

(D) What is the value of the original integral in terms of x\displaystyle {x}?
+ C