Hello!

I have a question about the relationship between numerical integration and the solution of ordinary differential equations (ODE). Suppose I want to evaluate the integral $I(x) = \int_{0}^{x} f(t) dt$, where $f$ is a continous function, for some fixed $x = x_{0}$. From the fundamental theorem of calculus I should be able to evaluate this integral by solving an initial value problem $\dot{I} = f(x)$, $I(0) = 0$, $x\in(0,x_{0}]$ right? However, I have seldom seen this method implemented, instead one uses specialized numerical integration codes. How come?

Best regards Anne