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Beliebt Rechnen >

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

Lösung

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

Lösung

ln (1 + 2)

+1

Dezimale

0.88137 \dots

Schritte zur Lösung

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

tangent f(x)= 2/(x+1),\at x=1

t an g e n t f (x) = \frac{2}{x + 1}, at x = 1

x y^{^{'}} - 2 y = 11 x^{2}

derivative of 2^{e^x}

\frac{d}{d x} (2^{e^{x}})

(dy)/(dx)=(-2y)/(x-2)

\frac{d y}{d x} = \frac{- 2 y}{x - 2}

(\partial)/(\partial x)(sqrt(3x^2+y^2))

\frac{\partial}{\partial x} (3 x^{2} + y^{2})