7.10-bo'lim: Aniq integrallarni taxmin qilish

Quyidagi integrallarning har biri uchun n ning berilgan qiymatidan foydalanib, aniq integralning qiymatiga yaqinlashing.

Ishingiz uchun kamida 6 kasrdan iborat aniqlikdan foydalaning.

1. \(n = 6\) yordamida \( \displaystyle \int_{1}^{7}{{\frac{1}{{{x^3} + 1}}\,dx}}\) Yechim
2. \(n = 6\) yordamida \( \displaystyle \int_{{ - 1}}^{2}{{\sqrt {{{\bf{e}}^{ - \,{x^{\,2}}}} + 1} \,dx}}\) Yechim
3. \(n = 8\) yordamida \( \displaystyle \int_{0}^{4}{{\cos \left( {1 + \sqrt x } \right)\,dx}}\) Yechim