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Beliebt Rechnen >

integral from 0 to 1 of 8x

Lösung

\int_{0}^{1} 8 x d x

Lösung

4

Schritte zur Lösung

\int_{0}^{1} 8 x d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 8 \cdot \int_{0}^{1} x d x

Wende die Potenzregel an

= 8 [\frac{x ^{2}}{2}]_{0}^{1}

Berechne die Grenzen:

\frac{1}{2}

= 8 \cdot \frac{1}{2}

Vereinfache

= 4

Graph

Beliebte Beispiele

sum from n=0 to infinity of (n!)/(2n!)

n = 0 \sum \infty \frac{n !}{2 n !}

limit as x approaches 0 of sin(x)-2x

x \to 0 lim (sin (x) - 2 x)

integral of 8xy

\int 8 x y

tangent y=(1+5x)^8,(0,1)

t an g e n t y = (1 + 5 x)^{8}, (0, 1)

derivative of nln(0.4nx+0.6)

\frac{d}{d x} (n ln (0.4 n x + 0.6))