de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of x^{3/4}-1/(x^{3/4)}

Lösung

\int x^{\frac{3}{4}} - \frac{1}{x ^{\frac{3}{4}}} d x

Lösung

\frac{4}{7} x^{\frac{7}{4}} - 4 x^{\frac{1}{4}} + C

Schritte zur Lösung

\int x^{\frac{3}{4}} - \frac{1}{x ^{\frac{3}{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 x^{\frac{3}{4}} d x - \int \frac{1}{x ^{\frac{3}{4}}} d x

\int x^{\frac{3}{4}} d x = \frac{4}{7} x^{\frac{7}{4}}

\int \frac{1}{x ^{\frac{3}{4}}} d x = 4 x^{\frac{1}{4}}

= \frac{4}{7} x^{\frac{7}{4}} - 4 x^{\frac{1}{4}}

Füge eine Konstante zur Lösung hinzu

= \frac{4}{7} x^{\frac{7}{4}} - 4 x^{\frac{1}{4}} + C

Graph

Beliebte Beispiele

integral of 7x^{1/2}

\int 7 x^{\frac{1}{2}} d x

integral of (1/(7x-2)-1/(7x+2))

\int (\frac{1}{7 x - 2} - \frac{1}{7 x + 2}) d x

integral of ((2+sqrt(x)+x)/x)

\int (\frac{2 + x + x}{x}) d x

integral of (3x+2)/(x^2-3x+2)

\int \frac{3 x + 2}{x ^{2} - 3 x + 2} d x

integral of (e^t)/(e^t-2)

\int \frac{e ^{t}}{e ^{t} - 2} d t