> [!question] 题干 > 求不定积分$\int x^2dx$
> [!done]- 解 > $ > \begin{aligned} > \int x^2dx&=\frac{1}{3}\int 3x^2dx\\ > &=\frac{1}{3}\int d(x^3)&&根据d(x^a)=ax^{a-1}dx\\ > &=\frac{x^3}{3}+C > \end{aligned} > $
百科词条
题型：凑微分法：例2
question 题干 求不定积分$\int x^2dx$ done - 解 $ \begin aligned \int x^2dx&=\frac 1 3 \int 3x^2dx\\ &=\frac 1 3 \int d x^3 &&根据d x^a =ax^ a-1 dx\\ &=\frac x^3 3 +C \end aligned