Edexcel A-Level Maths: Integration Techniques | 爱德思 A-Level 数学：积分技巧

📚 Edexcel A-Level Maths: Integration Techniques | 爱德思 A-Level 数学：积分技巧

Integration is one of the highest-weighted topics in the Edexcel A-Level Mathematics Pure specification. This article brings together the essential techniques: reversing differentiation, substitution, integration by parts, partial fractions, parametric integration, separable differential equations, area and volume calculations, and numerical estimation. It is written to help you work fluently under exam conditions and avoid losing accuracy marks.

积分是爱德思 A-Level 数学 Pure 部分权重很高的主题。本文汇总核心方法：逆向微分、换元积分、分部积分、部分分式积分、参数方程积分、可分离变量微分方程、面积与旋转体体积计算以及数值估计，帮助你适应考试节奏并减少细节失分。

1. Integration as Reverse Differentiation | 积分作为逆微分

At A-Level, the indefinite integral of a function f'(x) is written as ∫ f'(x) dx = f(x) + C. The constant C is essential: Edexcel mark schemes routinely deduct the final A mark if ‘+ C’ is missing on an indefinite integral.

在 A-Level 中，f'(x) 的不定积分写作 ∫ f'(x) dx = f(x) + C。常数 C 必不可少，Edexcel 评分方案通常会在不定积分缺少 ‘+ C’ 时扣掉最后一个 A 分。

Published by TutorHao | A-Level Mathematics Revision Series | aleveler.com

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