de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from 4 to 9 of (x-sqrt(x))/x

Lösung

\int_{4}^{9} \frac{x - x}{x} d x

Lösung

3

Schritte zur Lösung

\int_{4}^{9} \frac{x - x}{x} d x

Multipliziere aus

\frac{x - x}{x} : 1 - \frac{1}{x}

= \int_{4}^{9} 1 - \frac{1}{x} 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_{4}^{9} 1 d x - \int_{4}^{9} \frac{1}{x} d x

\int_{4}^{9} 1 d x = 5

\int_{4}^{9} \frac{1}{x} d x = 2

= 5 - 2

Vereinfache

= 3

Graph

Beliebte Beispiele

integral of e^{2x-2}

\int e^{2 x - 2} d x

derivative of 1/(2x^2-3)

\frac{d}{d x} (\frac{1}{2 x ^{2} - 3})

integral of ((e^{x^2}-1))/x

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

integral from 0 to 1 of 1/((x-1)^2)

\int_{0}^{1} \frac{1}{( x - 1 ) ^{2}} d x

taylor (sqrt(1+x))/(sqrt(1-x))

t a y l or \frac{1 + x}{1 - x}