de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of 45sqrt(t)-(21)/(sqrt(t))

Lösung

\int 45 t - \frac{21}{t} d t

Lösung

30 t^{\frac{3}{2}} - 42 t + C

Schritte zur Lösung

\int 45 t - \frac{21}{t} d t

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 45 t d t - \int \frac{21}{t} d t

\int 45 t d t = 30 t^{\frac{3}{2}}

\int \frac{21}{t} d t = 42 t

= 30 t^{\frac{3}{2}} - 42 t

Füge eine Konstante zur Lösung hinzu

= 30 t^{\frac{3}{2}} - 42 t + C

Graph

Beliebte Beispiele

derivative of 2/(x^3+1)

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

derivative of (-5/(x^5))

\frac{d}{d x} (\frac{- 5}{x ^{5}})

integral of (x^2)/(csc(x))

\int \frac{x ^{2}}{csc ( x )} d x

integral from 0 to 5 of 1/(x^{19/20)}

\int_{0}^{5} \frac{1}{x ^{\frac{19}{20}}} d x

integral from 0 to 4 of (6-x^2)

\int_{0}^{4} (6 - x^{2}) d x