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 xsqrt(x-4)

Lösung

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

Lösung

\frac{46}{15}

+1

Dezimale

3.06666 \dots

Schritte zur Lösung

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

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

derivative of-0.5x^2+56x+20

\frac{d}{d x} (- 0.5 x^{2} + 56 x + 20)

derivative ((4-y))/((2^y+3))

d er i v a t i v e \frac{( 4 - y )}{( 2 ^{y} + 3 )}

integral of (-3*x+2)*e^{-x}

\int (- 3 \cdot x + 2) \cdot e^{- x} d x

derivative of (x/7+7/x ^7)

\frac{d}{d x} ((\frac{x}{7} + \frac{7}{x})^{7})

integral of 1/(3x^2-1)

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