Integrals over Unit Intervals
Difficulty: Medium · Topics: Calculus, Integration, Series
Birlik oraliqlar bo‘yicha integrallar
For a continuous function f(x) and every natural number k,
∫ k^k+1f(x) dx=k^3.
Find the value of lim n→∞frac1n^4∫ 1^n+1f(x) dx.
Uzluksiz f(x) funksiya va har bir natural k son uchun
∫ k^k+1f(x) dx=k^3.
lim n→∞frac1n^4∫ 1^n+1f(x) dx ning qiymatini toping.