integral of x^3+2

Lösung

\int x^{3} + 2 d x

\frac{x ^{4}}{4} + 2 x + C

Schritte zur Lösung

\int x^{3} + 2 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 x^{3} d x + \int 2 d x

\int x^{3} d x = \frac{x ^{4}}{4}

\int 2 d x = 2 x

= \frac{x ^{4}}{4} + 2 x

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{4}}{4} + 2 x + C

x \to 15 lim (x + 3)

\int \frac{4 - x}{( x + 2 ) ( x ^{2} + 2 )} d x

\frac{\partial}{\partial y} ((x + y) e^{y})

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