Problem - 4612
Compute $$\int\frac{1}{\sqrt{a^2-x^2}}d{x}$$
$$\int\frac{1}{\sqrt{a^2-x^2}}d{x}=\int\frac{1}{\sqrt{1-\left(\frac{x}{a}\right)^2}}d{\left(\frac{x}{a}\right)}=\boxed{\arcsin\frac{x}{a}+C}$$
Compute $$\int\frac{1}{\sqrt{a^2-x^2}}d{x}$$
$$\int\frac{1}{\sqrt{a^2-x^2}}d{x}=\int\frac{1}{\sqrt{1-\left(\frac{x}{a}\right)^2}}d{\left(\frac{x}{a}\right)}=\boxed{\arcsin\frac{x}{a}+C}$$