Evaluate the following integral using trigonometric substitution. Integral from nothing to nothing StartFraction dx Over x cubed StartRoot x squared minus $256$ EndRoot EndFraction $,$ xgreater than$16$ Question content area bottom Part $1$ What substitution will be the most helpful for evaluating this$$ integral? A$.$ xequals$16$ tangent theta By equals$16$ secant theta Your answer is correct.C$.$ xequals$16$ sine theta Part $2$ Rewrite the given integral using this substitution. Integral from nothing to nothing StartFraction dx Over x cubed StartRoot x squared minus $256$ EndRoot EndFraction equals Integral from nothing to nothing left parenthesis StartFraction $1$ Over $256$ EndFraction left parenthesis cosine squared theta right parenthesis right parenthesis d theta $($Type an exact$$ answer.$)$