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Beliebt Rechnen >

integral from a to b of f(x)

Lösung

\int_{a}^{b} f (x) d x

Lösung

\frac{f ( b ^{2} - a ^{2} )}{2}

Schritte zur Lösung

\int_{a}^{b} f x d x

Entferne die Konstante:

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

= f \cdot \int_{a}^{b} x d x

Wende die Potenzregel an

= f [\frac{x ^{2}}{2}]_{a}^{b}

Berechne die Grenzen:

\frac{b ^{2}}{2} - \frac{a ^{2}}{2}

= f (\frac{b ^{2}}{2} - \frac{a ^{2}}{2})

Vereinfache

= \frac{f ( b ^{2} - a ^{2} )}{2}

Beliebte Beispiele

(ln (\frac{x}{4}))^{^{'}}

integral of 2x(2-x)

\int 2 x (2 - x) d x

derivative 3^{2^{x^2}}

d er i v a t i v e 3^{2^{x^{2}}}

limit as x approaches 0 of (sin(x^7))/x

x \to 0 lim (\frac{sin ( x ^{7} )}{x})

limit as x approaches-2+of (-1)/(x^2-4)

x \to - 2 + lim (\frac{- 1}{x ^{2} - 4})