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Beliebt Rechnen >

integral from 0 to 2 of 1/(x+3)

Lösung

\int_{0}^{2} \frac{1}{x + 3} d x

Lösung

ln (5) - ln (3)

+1

Dezimale

0.51082 \dots

Schritte zur Lösung

\int_{0}^{2} \frac{1}{x + 3} d x

Wende U-Substitution an

= \int_{3}^{5} \frac{1}{u} d u

Nutze das gemeinsame Integral :

\int \frac{1}{u} d u = ln (∣ u ∣)

= [ln ∣ u ∣]_{3}^{5}

Berechne die Grenzen:

ln (5) - ln (3)

= ln (5) - ln (3)

Graph

Beliebte Beispiele

derivative cos(2y)

d er i v a t i v e cos (2 y)

integral of 1/(sqrt(y^2-1))

\int \frac{1}{y ^{2} - 1} d y

sum from n=2 to infinity of 1/(n(n+2))

n = 2 \sum \infty \frac{1}{n ( n + 2 )}

x y^{^{'}} + 2 y = 9 x

sum from n=1 to infinity}((4)^{n-1 of)/(5^n)

n = 1 \sum \infty \frac{( 4 ) ^{n - 1}}{5 ^{n}}