Primitive of Exponential Function/Real
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Theorem
- $\ds \int e^x \rd x = e^x + C$
where $C$ is an arbitrary constant.
Proof for Real Numbers
Let $x \in \R$ be a real variable.
\(\ds \map {\dfrac \d {\d x} } {e^x}\) | \(=\) | \(\ds e^x\) | Derivative of Exponential Function |
The result follows by the definition of the primitive.
$\blacksquare$
Sources
- 1953: L. Harwood Clarke: A Note Book in Pure Mathematics ... (previous) ... (next): $\text {II}$. Calculus: Integration
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