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 5 of (tsqrt(t-4))

Lösung

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

Lösung

\frac{46}{15}

+1

Dezimale

3.06666 \dots

Schritte zur Lösung

\int_{4}^{5} t t - 4 d t

Wende U-Substitution an

= \int_{0}^{1} (u + 4) u d u

Multipliziere aus

(u + 4) u : u^{\frac{3}{2}} + 4 u

= \int_{0}^{1} u^{\frac{3}{2}} + 4 u d u

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}^{1} u^{\frac{3}{2}} d u + \int_{0}^{1} 4 u d u

\int_{0}^{1} u^{\frac{3}{2}} d u = \frac{2}{5}

\int_{0}^{1} 4 u d u = \frac{8}{3}

= \frac{2}{5} + \frac{8}{3}

Vereinfache

\frac{2}{5} + \frac{8}{3} : \frac{46}{15}

= \frac{46}{15}

Graph

Beliebte Beispiele

integral of 1/(ln(t))

\int \frac{1}{ln ( t )} d t

integral of 15+0.55x

\int 15 + 0.55 x d x

integral of x^{-5/2}

\int x^{- \frac{5}{2}} d x

inverselaplace (2-3s)/(s^2-3)

in v erse l a pl a ce \frac{2 - 3 s}{s ^{2} - 3}

fläche y=(|x-2|)^3,y=8-4x

a re a y = (∣ x - 2 ∣)^{3}, y = 8 - 4 x