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Beliebt Rechnen >

integral from 7 to infinity of 9/(v^2-v)

Lösung

\int_{7}^{\infty} \frac{9}{v ^{2} - v} d v

Lösung

- 9 (ln (6) - ln (7))

+1

Dezimale

1.38735 \dots

Schritte zur Lösung

\int_{7}^{\infty} \frac{9}{v ^{2} - v} d v

Berechne das unbestimmte Integral:

\int \frac{9}{v ^{2} - v} d v = 9 (- ln ∣ v ∣ + ln ∣ v - 1 ∣) + C

Berechne die Grenzen:

\int_{7}^{\infty} \frac{9}{v ^{2} - v} d v = 0 - 9 (- ln (7) + ln (6))

= 0 - 9 (- ln (7) + ln (6))

Vereinfache

= - 9 (ln (6) - ln (7))

Beliebte Beispiele

limit as x approaches 2+of (|2-x|)/(2-x)

x \to 2 + lim (\frac{∣ 2 - x ∣}{2 - x})

(\partial)/(\partial x)(1/(sqrt(x^2)))

\frac{\partial}{\partial x} (\frac{1}{x ^{2}})

derivative (x^3-3)/(x^2+2)

d er i v a t i v e \frac{x ^{3} - 3}{x ^{2} + 2}

integral from 1 to 5 of x

\int_{1}^{5} x d x

integral of x^2(ln(x))^2

\int x^{2} (ln (x))^{2} d x