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Beliebt Rechnen >

integral from 0 to 2 of 1/(sqrt(x^2+4))

Lösung

\int_{0}^{2} \frac{1}{x ^{2} + 4} d x

Lösung

ln (1 + 2)

+1

Dezimale

0.88137 \dots

Schritte zur Lösung

\int_{0}^{2} \frac{1}{x ^{2} + 4} d x

Trigonometrische Substitution anwenden

= \int_{0}^{\frac{π}{4}} sec (u) d u

Nutze das gemeinsame Integral :

\int sec (u) d u = ln ∣ tan (u) + sec (u) ∣

= [ln ∣ tan (u) + sec (u) ∣]_{0}^{\frac{π}{4}}

Berechne die Grenzen:

ln (1 + 2)

= ln (1 + 2)

Graph

Beliebte Beispiele

derivative of (x-5/5)

\frac{d}{d x} (\frac{x - 5}{5})

derivative sqrt(81-y^2)

d er i v a t i v e 81 - y^{2}

limit as x approaches 0 of (tan(12x))/x

x \to 0 lim (\frac{tan ( 12 x )}{x})

limit as w approaches-2 of (w^2+5w+6)/(w^3+8)

w \to - 2 lim (\frac{w ^{2} + 5 w + 6}{w ^{3} + 8})

f(x)=((e^{2x}))/(x^2+1)

f (x) = \frac{( e ^{2 x} )}{x ^{2} + 1}