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Beliebt Rechnen >

integral from 2 to 4 of 1/(sqrt(16-t^2))

Lösung

\int_{2}^{4} \frac{1}{16 - t ^{2}} d t

Lösung

\frac{π}{3}

+1

Dezimale

1.04719 \dots

Schritte zur Lösung

\int_{2}^{4} \frac{1}{16 - 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

limit as x approaches 2 of 2x-2

x \to 2 lim (2 x - 2)

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\int \frac{sec ( x )}{x} d x

y^{''}-2y^'-3y=-3te^{-t}

y^{^{''}} - 2 y^{^{'}} - 3 y = - 3 t e^{- t}

integral of x^2sin(4x)

\int x^{2} sin (4 x) d x

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d er i v a t i v e 7 sec (x)