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Beliebt Rechnen >

integral of x^5-1

Lösung

\int x^{5} - 1 d x

Lösung

\frac{x ^{6}}{6} - x + C

Schritte zur Lösung

\int x^{5} - 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 x^{5} d x - \int 1 d x

\int x^{5} d x = \frac{x ^{6}}{6}

\int 1 d x = x

= \frac{x ^{6}}{6} - x

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{6}}{6} - x + C

Graph

Beliebte Beispiele

integral of (3x^2-4x+2)e^x

\int (3 x^{2} - 4 x + 2) e^{x} d x

integral of (2x)/((1-x^2)^2)

\int \frac{2 x}{( 1 - x ^{2} ) ^{2}} d x

integral of (tan^4(x))/(cos^4(x))

\int \frac{tan ^{4} ( x )}{cos ^{4} ( x )} d x

integral of (5x)/((x-2)(x^2+1))

\int \frac{5 x}{( x - 2 ) ( x ^{2} + 1 )} d x

integral of (x^8+2x^9)ln(x)

\int (x^{8} + 2 x^{9}) ln (x) d x