Please help to calculate: $$\int\sqrt {{r}^{2}-{x}^{2}}{dx},\quad x\in[0,r]$$ Do any method of trigonometric substitution?
Thanks.
Please help to calculate: $$\int\sqrt {{r}^{2}-{x}^{2}}{dx},\quad x\in[0,r]$$ Do any method of trigonometric substitution?
Thanks.
Use the substitution $x=r\sin t$.
Or use the substitution x = r cosh t if you like calculus on the complex plane.