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Beliebt Rechnen >

integral from 0 to 1 of 1/(sqrt(4-t^2))

Lösung

\int_{0}^{1} \frac{1}{4 - t ^{2}} d t

Lösung

\frac{π}{6}

+1

Dezimale

0.52359 \dots

Schritte zur Lösung

\int_{0}^{1} \frac{1}{4 - t ^{2}} d t

Trigonometrische Substitution anwenden

= \int_{0}^{\frac{π}{6}} 1 d u

Integral einer Konstanten :

\int a d x = a x

= [1 \cdot u]_{0}^{\frac{π}{6}}

Vereinfache

= [u]_{0}^{\frac{π}{6}}

Berechne die Grenzen:

\frac{π}{6}

= \frac{π}{6}

Graph

Beliebte Beispiele

tangent y= 5/(x^3)

t an g e n t y = \frac{5}{x ^{3}}

derivative of (3x^{4x})

\frac{d}{d x} ((3 x)^{4 x})

derivative of cx^{-7}

\frac{d}{d x} (c x^{- 7})

(dy)/(dx)=(sec(y))/((x+2)^2)

\frac{d y}{d x} = \frac{sec ( y )}{( x + 2 ) ^{2}}

integral of k/(x^4)

\int \frac{k}{x ^{4}} d x