Direct Integration

Use linearity and known formulas when the integrand is a linear combination of basic functions.

适用情况

基本步骤

1. Decompose into basic terms.
2. Integrate each term using known formulas.
3. Combine results.

例子

例 $\int (2x^3 - 3x^2 + 1) dx = \tfrac12 x^4 - x^3 + x + C$.

练习题

练习 1

使用直接积分法计算 $\int (3x^2 - 2x + 1) dx$。

Summary