de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from 3 to infinity of 1/(x^2+x)

Lösung

\int_{3}^{\infty} \frac{1}{x ^{2} + x} d x

Lösung

- (ln (3) - 2 ln (2))

+1

Dezimale

0.28768 \dots

Schritte zur Lösung

\int_{3}^{\infty} \frac{1}{x ^{2} + x} d x

Berechne das unbestimmte Integral:

\int \frac{1}{x ^{2} + x} d x = ln ∣ x ∣ - ln ∣ x + 1 ∣ + C

Berechne die Grenzen:

\int_{3}^{\infty} \frac{1}{x ^{2} + x} d x = 0 - (ln (3) - 2 ln (2))

= 0 - (ln (3) - 2 ln (2))

Vereinfache

= - (ln (3) - 2 ln (2))

Beliebte Beispiele

integral of 2x(x^2+6)^9

\int 2 x (x^{2} + 6)^{9} d x

derivative of arcsin(4-3x)

\frac{d}{d x} (arcsin (4 - 3 x))

t^2(dy)/(dt)+ty=6

t^{2} \frac{d y}{d t} + t y = 6

sum from n=0 to infinity of n/3 (2/3)^n

n = 0 \sum \infty \frac{n}{3} (\frac{2}{3})^{n}

integral from 1 to 5 of (sqrt(x^2-1))/x

\int_{1}^{5} \frac{x ^{2} - 1}{x} d x