Primitive of Function under its Derivative/Examples

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Examples of Use of Primitive of Function under its Derivative

Primitive of $\dfrac {2 x - 5} {\paren {x - 2} \paren {x - 3} }$

$\ds \int \dfrac {2 x - 5} {\paren {x - 2} \paren {x - 3} } = \ln \size {\paren {x - 2} \paren {x - 3} } + C$


Primitive of $\dfrac {2 x + a} {x^2 + a x + b}$

$\ds \int \dfrac {2 x + a} {x^2 + a x + b} \rd x = \ln \size {x^2 + a x + b} + C$