grenivkah3z

2022-07-08

What is the difference between first and second fundamental theorem of calculus?

sniokd

Expert

hey have different assumptions.
In the first part, $f$ is assumed to be continuous. In the second part, $f$ can be assumed only Riemann integrable on the closed interval $\left[a,b\right]$. When $f$ is continuous, the second part indeed follows from the first part.

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