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Beliebt Rechnen >

integral of (14x^6y^{-4}-12x^5y^{-3})

Lösung

\int (14 x^{6} y^{- 4} - 12 x^{5} y^{- 3}) d x

Lösung

- \frac{2 x ^{6}}{y ^{3}} + \frac{2 x ^{7}}{y ^{4}} + C

Schritte zur Lösung

\int 14 x^{6} y^{- 4} - 12 x^{5} y^{- 3} d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= - \int 12 y^{- 3} x^{5} d x + \int 14 y^{- 4} x^{6} d x

\int 12 y^{- 3} x^{5} d x = \frac{2 x ^{6}}{y ^{3}}

\int 14 y^{- 4} x^{6} d x = \frac{2 x ^{7}}{y ^{4}}

= - \frac{2 x ^{6}}{y ^{3}} + \frac{2 x ^{7}}{y ^{4}}

Füge eine Konstante zur Lösung hinzu

= - \frac{2 x ^{6}}{y ^{3}} + \frac{2 x ^{7}}{y ^{4}} + C

Graph

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