integral of (x^3+5)

Lösung

\int (x^{3} + 5) d x

\frac{x ^{4}}{4} + 5 x + C

Schritte zur Lösung

\int x^{3} + 5 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 5 d x

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

\int 5 d x = 5 x

= \frac{x ^{4}}{4} + 5 x

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{4}}{4} + 5 x + C

\int e^{\frac{t}{5}} d t

x \to 2 - lim (\frac{x ^{2}}{x - 2})

n = 1 \sum \infty n^{3} (1 + n^{4})

d er i v a t i v e f (x) = x \cdot e^{2 x - 4}, x = 2

d er i v a t i v e y = \frac{4}{7 x ^{2}}