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Beliebt Rechnen >

integral of (5^y+(6x)/(y+4))

Lösung

\int (5^{y} + \frac{6 x}{y + 4}) d x

Lösung

5^{y} x + \frac{3 x ^{2}}{4 + y} + C

Schritte zur Lösung

\int 5^{y} + \frac{6 x}{y + 4} 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 5^{y} d x + \int \frac{6 x}{4 + y} d x

\int 5^{y} d x = 5^{y} x

\int \frac{6 x}{4 + y} d x = \frac{3 x ^{2}}{4 + y}

= 5^{y} x + \frac{3 x ^{2}}{4 + y}

Füge eine Konstante zur Lösung hinzu

= 5^{y} x + \frac{3 x ^{2}}{4 + y} + C

Graph

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\int 10 x^{- 1} d x

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\int - 10 t^{2} + 9 d t

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\int (\frac{7}{x ^{6}}) d x