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Beliebt Rechnen >

integral from 0 to 4 of (5-t)sqrt(t)

Lösung

\int_{0}^{4} (5 - t) t d t

Lösung

\frac{208}{15}

+1

Dezimale

13.86666 \dots

Schritte zur Lösung

\int_{0}^{4} (5 - t) t d t

Multipliziere aus

(5 - t) t : 5 t - t^{\frac{3}{2}}

= \int_{0}^{4} 5 t - t^{\frac{3}{2}} 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_{0}^{4} 5 t d t - \int_{0}^{4} t^{\frac{3}{2}} d t

\int_{0}^{4} 5 t d t = \frac{80}{3}

\int_{0}^{4} t^{\frac{3}{2}} d t = \frac{64}{5}

= \frac{80}{3} - \frac{64}{5}

Vereinfache

\frac{80}{3} - \frac{64}{5} : \frac{208}{15}

= \frac{208}{15}

Graph

Beliebte Beispiele

derivative of (sin(2x)^2)

\frac{d}{d x} ((sin (2 x))^{2})

integral from-5 to 0 of |x+3|

\int_{- 5}^{0} ∣ x + 3 ∣ d x

integral from 1 to 4 of (6/(x^2))

\int_{1}^{4} (\frac{6}{x ^{2}}) d x

y^{^{'}} = \frac{t}{y}

fläche x+6,x^2

a re a x + 6, x^{2}