This is a beta course, so its structure, chapters, and examples may continue to change.

Relation Between Integration and Differentiation

Integration and differentiation are inverse operations.

基本关系

定理2

Check by differentiating the result.

例验证 $\int 2x dx = x^2 + C$ : $(x^2 + C)' = 2x$ .

验证 $\int (e^x + \sin x) dx = e^x - \cos x + C$ 。

参考答案

答案：对 $e^x - \cos x + C$ 求导，得 $e^x + \sin x$ ，成立。

符号	类型	读音/说明	在本文中的含义
$\int$	数学符号	integral	不定积分符号
$C$	符号	constant	积分常数