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Beliebt Rechnen >

integral from 2 to 5 of x/(sqrt(x^2-4))

Lösung

\int_{2}^{5} \frac{x}{x ^{2} - 4} d x

Lösung

21

+1

Dezimale

4.58257 \dots

Schritte zur Lösung

\int_{2}^{5} \frac{x}{x ^{2} - 4} d x

Wende U-Substitution an

= \int_{0}^{21} \frac{1}{2 u} d u

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{1}{2} \cdot \int_{0}^{21} \frac{1}{u} d u

Wende die Potenzregel an

= \frac{1}{2} [2 u^{\frac{1}{2}}]_{0}^{21}

Wende Radikal Regel an:

a^{\frac{1}{n}} = n a

= \frac{1}{2} [2 u]_{0}^{21}

Berechne die Grenzen:

221

= \frac{1}{2} \cdot 221

Vereinfache

= 21

Graph

Beliebte Beispiele

derivative f(x)=(-1)/(sqrt(2x))+2x

d er i v a t i v e f (x) = \frac{- 1}{2 x} + 2 x

derivative of cos(x^{-4})

\frac{d}{d x} (cos (x^{- 4}))

limit as x approaches 2 of 5/(x-2)

x \to 2 lim (\frac{5}{x - 2})

steigung (3,-3),(5,-6)

s l o p e (3, - 3), (5, - 6)

y^{''}-2y^'+y=xe^xln(x)

y^{^{''}} - 2 y^{^{'}} + y = x e^{x} ln (x)