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 \( \displaystyle \int_{{ - 2}}^{4}{{\sin \left( {{x^2} + 2} \right)\,dx}}\)
2. \(n = 6\) yordamida \( \displaystyle \int_{0}^{4}{{\sqrt[3]{{{x^4} + 6}}\,dx}}\)
3. \(n = 8\) yordamida \( \displaystyle \int_{1}^{5}{{{{\bf{e}}^{\cos \left( x \right)}}\,dx}}\)
4. \(n = 6\) yordamida \( \displaystyle \int_{3}^{5}{{\frac{1}{{1 - \ln \left( x \right)}}\,dx}}\)
5. \(n = 8\) yordamida \( \displaystyle \int_{{ - 3}}^{1}{{\sin \left( x \right)\cos \left( {{x^2}} \right)\,dx}}\)