Primitive of Power/Examples/x
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Example of Use of Primitive of Power
- $\ds \int x \rd x = \dfrac {x^2} 2 + C$
Proof
\(\ds \ds \int x \rd x\) | \(=\) | \(\ds \ds \int x^1 \rd x\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds \dfrac {x^{1 + 1} } {1 + 1} + C\) | Primitive of Power: $n = 1$ | |||||||||||
\(\ds \) | \(=\) | \(\ds \dfrac {x^2} 2 + C\) | simplifying |
$\blacksquare$
Sources
- 1937: Eric Temple Bell: Men of Mathematics ... (previous) ... (next): Chapter $\text{VI}$: On the Seashore