Definite Integral/Examples/2 x from 2 to 3
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Example of Definite Integral
- $\ds \int_2^3 2 x \rd x = 5$
Proof
\(\ds \int_2^3 2 x \rd x\) | \(=\) | \(\ds \bigintlimits {x^2} 2 3\) | Primitive of Power | |||||||||||
\(\ds \) | \(=\) | \(\ds 3^2 - 2^2\) | Definition of Definite Integral | |||||||||||
\(\ds \) | \(=\) | \(\ds 5\) | evaluating |
$\blacksquare$
Sources
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): definite integral