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Beliebt Rechnen >

integral from 1 to 4 of x^2+2x-5

Lösung

\int_{1}^{4} x^{2} + 2 x - 5 d x

Lösung

21

Schritte zur Lösung

\int_{1}^{4} x^{2} + 2 x - 5 d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{1}^{4} x^{2} d x + \int_{1}^{4} 2 x d x - \int_{1}^{4} 5 d x

\int_{1}^{4} x^{2} d x = 21

\int_{1}^{4} 2 x d x = 15

\int_{1}^{4} 5 d x = 15

= 21 + 15 - 15

Vereinfache

= 21

Graph

Beliebte Beispiele

limit as x approaches infinity+of (log_{4}(x))/(log_{7)(x)}

x \to \infty + lim (\frac{lo g _{4} ( x )}{lo g _{7} ( x )})

derivative of (x^2/(x^3+4))

\frac{d}{d x} (\frac{x ^{2}}{x ^{3} + 4})

(dy)/(dx)=y^3xe^{x^2}

\frac{d y}{d x} = y^{3} x e^{x^{2}}

y^{^{''}} - 8 y = 0

a x^{^{''}} + b x = 0