8.3-bo'lim : Massa markazi

Quyidagi mintaqalarning har biri uchun massa markazini toping.

1. \(y = {x^3}\), \(x = - 2\) va \(x\) o'qi bilan chegaralangan hudud.
2. Uchburchak uchburchak \((-2, -2)\), \((4, -2)\) va \((4,4)\).
3. \(y = {\left( {x - 2} \right)^2}\) va \(y = 4\) bilan chegaralangan hudud.
4. \(y = \cos \left( x \right)\) va \(\displaystyle - \frac{\pi }{2} \le x \le \frac{\pi }{2}\) orasidagi x o'qi bilan chegaralangan hudud.
5. \(y = {x^2}\) va \(y = 6 - x\) bilan chegaralangan hudud.
6. \(y = {{\bf{e}}^{2x}}\) va \( - 1 \le x \le 1\) orasidagi x o'qi bilan chegaralangan hudud.
7. \(\displaystyle - \frac{1}{2} \le x \le \frac{1}{2}\) orasidagi \(y = {{\bf{e}}^{2x}}\) va \(y = - \cos \left( {\pi x} \right)\) bilan chegaralangan hudud.