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Beliebt Rechnen >

integral from 5 to infinity of 1/(x^2+x)

Lösung

\int_{5}^{\infty} \frac{1}{x ^{2} + x} d x

Lösung

- (ln (5) - ln (6))

+1

Dezimale

0.18232 \dots

Schritte zur Lösung

\int_{5}^{\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_{5}^{\infty} \frac{1}{x ^{2} + x} d x = 0 - (ln (5) - ln (6))

= 0 - (ln (5) - ln (6))

Vereinfache

= - (ln (5) - ln (6))

Beliebte Beispiele

derivative f(x)=(x^2)/(x+1)

d er i v a t i v e f (x) = \frac{x ^{2}}{x + 1}

integral from 0 to 16 of 0.8(16-x)

\int_{0}^{16} 0.8 (16 - x) d x

sqrt(1-4t^2)ds+2sqrt(1-s^2)dt=0

1 - 4 t^{2} d s + 2 1 - s^{2} d t = 0

integral of (x^2-5x+4)

\int (x^{2} - 5 x + 4) d x

integral of cos(4x)cos(2x)

\int cos (4 x) cos (2 x) d x