Question $10$

Evaluate using trigonometric substitution: ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{dx}{\sqrt[\phantom{2}]{x^3-25}}$

$-\frac{\sqrt[\phantom{2}]{x^2-25}}{x}C$

$ln|\frac{x\sqrt[\phantom{2}]{x^2-25}}{5}|C$

$si{n}^{-1}(\frac{x}{5})C$

$ln|\frac{x-\sqrt[\phantom{2}]{x^2-25}}{5}|C$