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Beliebt Rechnen >

integral of 1-x^{1/4}

Lösung

\int 1 - x^{\frac{1}{4}} d x

Lösung

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

Schritte zur Lösung

\int 1 - x^{\frac{1}{4}} 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 1 d x - \int x^{\frac{1}{4}} d x

\int 1 d x = x

\int x^{\frac{1}{4}} d x = \frac{4}{5} x^{\frac{5}{4}}

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of (116)/x

\int \frac{116}{x} d x

integral of ((e^x))/(e^{2x)+16}

\int \frac{( e ^{x} )}{e ^{2 x} + 16} d x

integral of (x+2)/(x^4-1)

\int \frac{x + 2}{x ^{4} - 1} d x

integral of 1/(81+4x^2)

\int \frac{1}{81 + 4 x ^{2}} d x

integral of (x^2+2x-7x)

\int (x^{2} + 2 x - 7 x) d x