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^{1/2}+1/(x+7))

Lösung

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

Lösung

\frac{2}{3} x^{\frac{3}{2}} + ln ∣ x + 7 ∣ + C

Schritte zur Lösung

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

\int x^{\frac{1}{2}} d x = \frac{2}{3} x^{\frac{3}{2}}

\int \frac{1}{x + 7} d x = ln ∣ x + 7 ∣

= \frac{2}{3} x^{\frac{3}{2}} + ln ∣ x + 7 ∣

Füge eine Konstante zur Lösung hinzu

= \frac{2}{3} x^{\frac{3}{2}} + ln ∣ x + 7 ∣ + C

Graph

Beliebte Beispiele

integral of e^{t-2}

integral of 3^{sqrt(2x+1)}

integral of (cos(x)-5)

integral of (x^2+2)/(x(x^2+5x+8))

integral of (pisec(x)-tan(x))sec(x)