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Beliebt Rechnen >

integral from 1 to 2 of 1/(sqrt(4-t^2))

Lösung

\int_{1}^{2} \frac{1}{4 - t ^{2}} d t

Lösung

\frac{π}{3}

+1

Dezimale

1.04719 \dots

Schritte zur Lösung

\int_{1}^{2} \frac{1}{4 - t ^{2}} d t

Trigonometrische Substitution anwenden

= \int_{\frac{π}{6}}^{\frac{π}{2}} 1 d u

Integral einer Konstanten :

\int a d x = a x

= [1 \cdot u]_{\frac{π}{6}}^{\frac{π}{2}}

Vereinfache

= [u]_{\frac{π}{6}}^{\frac{π}{2}}

Berechne die Grenzen:

\frac{π}{3}

= \frac{π}{3}

Graph

Beliebte Beispiele

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t an g e n t - 3 x^{2} + 2 x y + 2 y^{3} = 125, (3, 4)

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\frac{d}{d x} y = ln (10 x^{2} - 8)

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\frac{d}{d x} (I n x)

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derivative of arcsin(e^{2x})

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