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Beliebt Rechnen >

integral of 2x^4+5x+1

Lösung

\int 2 x^{4} + 5 x + 1 d x

Lösung

\frac{2 x ^{5}}{5} + \frac{5 x ^{2}}{2} + x + C

Schritte zur Lösung

\int 2 x^{4} + 5 x + 1 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 2 x^{4} d x + \int 5 x d x + \int 1 d x

\int 2 x^{4} d x = \frac{2 x ^{5}}{5}

\int 5 x d x = \frac{5 x ^{2}}{2}

\int 1 d x = x

= \frac{2 x ^{5}}{5} + \frac{5 x ^{2}}{2} + x

Füge eine Konstante zur Lösung hinzu

= \frac{2 x ^{5}}{5} + \frac{5 x ^{2}}{2} + x + C

Graph

Beliebte Beispiele

\frac{y ^{^{'}}}{y} = 5

sum from n=1 to infinity of 1/(5^{n+2)}

n = 1 \sum \infty \frac{1}{5 ^{n + 2}}

derivative (1/2)^9

d er i v a t i v e (\frac{1}{2})^{9}

integral of (3x+1)/(x(x+1))

\int \frac{3 x + 1}{x ( x + 1 )} d x

limit as x approaches 0+of cot(8)

x \to 0 + lim (cot (8))