5. Integrointi

$$\frac{d}{dx}\int_a^{g(x)}f(t)dt=f(g(x))g'(x)$$ ja $$\frac{d}{dx}\int_{h(x)}^{g(x)}f(t)dt=f(g(x))g'(x)-f(h(x))h'(x)$$ ja $$\frac{d}{dx}\int_{h(x)}^{g(x)}f(x,t)dt=f(g(x))g'(x)-f(h(x))h'(x)+ \int_{h(x)}^{g(x)}\frac{d}{dx}f(x,t)dt.$$