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Beliebt Rechnen >

integral from 3 to infinity of 6/(x^2-x)

Lösung

\int_{3}^{\infty} \frac{6}{x ^{2} - x} d x

Lösung

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

+1

Dezimale

2.43279 \dots

Schritte zur Lösung

\int_{3}^{\infty} \frac{6}{x ^{2} - x} d x

Berechne das unbestimmte Integral:

\int \frac{6}{x ^{2} - x} d x = 6 (- ln ∣ x ∣ + ln ∣ x - 1 ∣) + C

Berechne die Grenzen:

\int_{3}^{\infty} \frac{6}{x ^{2} - x} d x = 0 - 6 (- ln (3) + ln (2))

= 0 - 6 (- ln (3) + ln (2))

Vereinfache

= - 6 (ln (2) - ln (3))

Beliebte Beispiele

(\partial)/(\partial y)(x^2-xy^2+4y^5)

\frac{\partial}{\partial y} (x^{2} - x y^{2} + 4 y^{5})

(\partial)/(\partial y)(sin(x)cos(y))

\frac{\partial}{\partial y} (sin (x) cos (y))

derivative of 3/(x^2+2)

\frac{d}{d x} (\frac{3}{x ^{2} + 2})

d/(d{x)}({x}-2{y}+2{z})

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integral of 3/(sqrt(1+x^2))

\int \frac{3}{1 + x ^{2}} d x