Tongji University Advanced Mathematics Volume 1 Chapter 4 Indefinite Integral and a daily question

Chapter Four, Indefinite Integral

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Postgraduate exam content

The concepts of original function and indefinite integral (the requirement of integrand and continuity are only sufficient conditions for the existence of original function), the basic properties of indefinite integral (linearity, sum and difference, and reciprocity of derivative), basic integral formula, and the substitution of indefinite integral Integration method.

Postgraduate exam requirements

• 1. Understand the concept of primitive function and the concept of indefinite integral.
• 2. Master the basic formula of indefinite integral.

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f(x)=nx(1-x) ⁿ , find lim(n→∞)maxf(x)|x∈[0,1]

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