积分的常见类型及解法
被积函数的类型
解法
三角代换（令）
或
当时，将二次三项式配成平方差或分解因式。
当时，将二次三项式配成平方和。
这里
拼凑为
令代替
令，这里为的最小公倍数
为有理分式
化为多项式+真分式，利用待定系数法，继续化为多项式+若干部分分式之和。
为三角函数有理式
令，利用万能公式或其他代换法。
为的有理函数
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