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