Evaluate the integral using trigonometric substitution: ∫dxa2−x2\int \frac{dx}{\sqrt{a^2 - x^2}}∫a2−x2dx.
arcsin(xa)+C\arcsin(\frac{x}{a}) + Carcsin(ax)+C
arccos(xa)+C\arccos(\frac{x}{a}) + Carccos(ax)+C
1aarcsin(xa)+C\frac{1}{a} \arcsin(\frac{x}{a}) + Ca1arcsin(ax)+C
ln∣x+a2−x2∣+C\ln|x + \sqrt{a^2-x^2}| + Cln∣x+a2−x2∣+C