de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from-6 to-10 of 1/(x+2)

Lösung

\int_{- 6}^{- 10} \frac{1}{x + 2} d x

Lösung

ln (2)

+1

Dezimale

0.69314 \dots

Schritte zur Lösung

\int_{- 6}^{- 10} \frac{1}{x + 2} d x

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

= - \int_{- 10}^{- 6} \frac{1}{x + 2} d x

Wende U-Substitution an

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

Nutze das gemeinsame Integral :

\int \frac{1}{u} d u = ln (∣ u ∣)

= - [ln ∣ u ∣]_{- 8}^{- 4}

Berechne die Grenzen:

- ln (2)

= - (- ln (2))

Vereinfache

= ln (2)

Graph

Beliebte Beispiele

tangent f(x)=x^2-5,(3,4)

t an g e n t f (x) = x^{2} - 5, (3, 4)

derivative y= 1/(x^7)

d er i v a t i v e y = \frac{1}{x ^{7}}

tangent f(x)=x^2-1/x ,(-1,2)

t an g e n t f (x) = x^{2} - \frac{1}{x}, (- 1, 2)

limit as h approaches 0 of ((h+2)^2-4)/h

h \to 0 lim (\frac{( h + 2 ) ^{2} - 4}{h})

tangent y=(2x)/(x+5),(5,1)

t an g e n t y = \frac{2 x}{x + 5}, (5, 1)