$int((3x+2)/(4x+5))dx$

A cura di: Francesco Speciale

Svolgimento:
$int((3x+2)/(4x+5))dx=1/4int((12x+8)/(4x+5))dx=1/4int((12x+15-7)/(4x+5))dx=$
$=3/4int(1)dx-7/4int(1/(4x+5))dx=$
$=3/4int(1)dx-7/(16)int(4/(4x+5))dx=$
$3/4x-7/(16)log(|4x+5|)+c$.

materiaIntegrali

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