积分运算法则

$$\int [f(x)\pm g(x)]dx=\int f(x)dx\pm \int g(x)dx$$$$\int kf(x)dx=k\int f(x)dx(k\mathrm{为}\mathrm{非}\mathrm{零}\mathrm{常}\mathrm{数})$$$$\int u(x)dv(x)=u(x)v(x)-\int v(x)du(x)$$