de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of (7-2x)/(x^{1/2)}

Lösung

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

Lösung

14 x^{\frac{1}{2}} - \frac{4}{3} x^{\frac{3}{2}} + C

Schritte zur Lösung

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

Multipliziere aus

\frac{7 - 2 x}{x ^{\frac{1}{2}}} : \frac{7}{x ^{\frac{1}{2}}} - 2 x^{\frac{1}{2}}

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

\int \frac{7}{x ^{\frac{1}{2}}} d x = 14 x^{\frac{1}{2}}

\int 2 x^{\frac{1}{2}} d x = \frac{4}{3} x^{\frac{3}{2}}

= 14 x^{\frac{1}{2}} - \frac{4}{3} x^{\frac{3}{2}}

Füge eine Konstante zur Lösung hinzu

= 14 x^{\frac{1}{2}} - \frac{4}{3} x^{\frac{3}{2}} + C

Graph

Beliebte Beispiele

derivative of 1/((a^2+x^2^{n/2)})

\frac{d}{d x} (\frac{1}{( a ^{2} + x ^{2} ) ^{\frac{n}{2}}})

integral of t^3ln(t)

\int t^{3} ln (t) d t

integral of sin(mx)sin(nx)

\int sin (m x) sin (n x) d x

derivative y=(8x^2+2x+6)/(sqrt(x))

d er i v a t i v e y = \frac{8 x ^{2} + 2 x + 6}{x}

derivative of 1000xe^{-0.5x}

\frac{d}{d x} (1000 x e^{- 0.5 x})