integral of (x^3+e^x)

Lösung

\int (x^{3} + e^{x}) d x

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

Schritte zur Lösung

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

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

\int e^{x} d x = e^{x}

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

Füge eine Konstante zur Lösung hinzu

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

n = 1 \sum \infty n^{0.5}

t an g e n t \frac{2 x}{x + 1}

\int_{- 1}^{1} x^{2} (1 - x^{2}) d x

\frac{\partial}{\partial x} (5 y cos (6 x))

\int x^{2} ln (x^{2} + 1) d x