6.2-bo'lim: Egri chiziqlar orasidagi maydon

1. \(f\left( x \right) = 3 + 2x - {x^2}\) ostidagi va x o'qi ustidagi maydonni aniqlang. Yechim
2. \(g\left( y \right) = 3 - {y^2}\) ning chap tomonidagi va \(x = - 1\) ning o‘ng tomonidagi maydonni aniqlang. Yechim

3-11-masalalar uchun berilgan egri chiziqlar bilan chegaralangan hudud maydonini aniqlang.

1. \(y = {x^2} + 2\), \(y = \sin \left( x \right)\), \(x = - 1\) va \(x = 2\) Yechim
2. \(\displaystyle y = \frac{8}{x}\), \(y = 2x\) va \(x = 4\) Yechim
3. \(x = 3 + {y^2}\), \(x = 2 - {y^2}\), \(y = 1\) va \(y = - 2\) Yechim
4. \(x = {y^2} - y - 6\) va \(x = 2y + 4\) Yechim
5. \(y = x\sqrt {{x^2} + 1} \), \(y = {{\bf{e}}^{ - \,\,\frac{1}{2}x}}\), \(x = - 3\) va y o'qi. Yechim
6. \(y = 4x + 3\), \(y = 6 - x - 2{x^2}\), \(x = - 4\) va \(x = 2\) Yechim
7. \(\displaystyle y = \frac{1}{{x + 2}}\), \(y = {\left( {x + 2} \right)^2}\), \(\displaystyle x = - \frac{3}{2}\), \(x = 1\) Yechim
8. \(x = {y^2} + 1\), \(x = 5\), \(y = - 3\) va \(y = 3\) Yechim
9. \(x = {{\bf{e}}^{1 + 2y}}\), \(x = {{\bf{e}}^{1 - y}}\), \(y = - 2\) va \(y = 1\) Yechim