Zerrenda:Funtzio irrazionalen integralak: berrikuspenen arteko aldeak
Ezabatutako edukia Gehitutako edukia
133. lerroa:
: <math>\int\frac{dx}{R} = \frac{1}{\sqrt{a}}\ln\left|2\sqrt{a}R+2ax+b\right|+ K \qquad \mbox{( }a>0\mbox{)}</math>
: <math>\int\frac{dx}{R} = \frac{1}{\sqrt{a}}\,\sinh^{-1}\frac{2ax+b}{\sqrt{4ac-b^2}}+ K \qquad \mbox{( }a>0\mbox{, }4ac-b^2>0\mbox{)}
: <math>\int\frac{dx}{R} = \frac{1}{\sqrt{a}}\ln|2ax+b|+ K \quad \mbox{( }a>0\mbox{, }4ac-b^2=0\mbox{)}
: <math>\int\frac{dx}{R} = -\frac{1}{\sqrt{-a}}\arcsin\frac{2ax+b}{\sqrt{b^2-4ac}}+ K \qquad \mbox{( }a<0\mbox{, }4ac-b^2<0\mbox{, }\left|2ax+b\right|<\sqrt{b^2-4ac}\mbox{)}
: <math>\int\frac{dx}{R^3} = \frac{4ax+2b}{(4ac-b^2)R}+ K</math>
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