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Proposition: Integral of the Exponential Function

Let $a,b\in\mathbb R$. The Riemann integral of exponential function in the closed interval $[a,b]$ equals

$$\int_a^b \exp(x)dx = \exp(x)\;\begin{array}{|l}a\\\\b\end{array}.$$

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References

Bibliography

  1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983