de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from 1 to 3 of 1/(sqrt(3-x))

Lösung

\int_{1}^{3} \frac{1}{3 - x} d x

Lösung

22

+1

Dezimale

2.82842 \dots

Schritte zur Lösung

\int_{1}^{3} \frac{1}{3 - x} d x

Wende U-Substitution an

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

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

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

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - (- \int_{0}^{2} \frac{1}{u} d u)

Wende die Potenzregel an

= - (- [2 u^{\frac{1}{2}}]_{0}^{2})

Vereinfache

- (- [2 u^{\frac{1}{2}}]_{0}^{2}) : [2 u]_{0}^{2}

= [2 u]_{0}^{2}

Berechne die Grenzen:

22

= 22

Graph

Beliebte Beispiele

derivative (sin(6x))^4

d er i v a t i v e (sin (6 x))^{4}

integral from 1 to e of x^3ln(x)

\int_{1}^{e} x^{3} ln (x) d x

derivative of x/(20)

\frac{d}{d x} (\frac{x}{20})

tangent y=7e^x+x,(0,7)

t an g e n t y = 7 e^{x} + x, (0, 7)

inverselaplace 4

in v erse l a pl a ce 4