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Beliebt Rechnen >

integral from 0 to 1 of (x^2-4x+5)

Lösung

\int_{0}^{1} (x^{2} - 4 x + 5) d x

Lösung

\frac{10}{3}

+1

Dezimale

3.33333 \dots

Schritte zur Lösung

\int_{0}^{1} x^{2} - 4 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_{0}^{1} x^{2} d x - \int_{0}^{1} 4 x d x + \int_{0}^{1} 5 d x

\int_{0}^{1} x^{2} d x = \frac{1}{3}

\int_{0}^{1} 4 x d x = 2

\int_{0}^{1} 5 d x = 5

= \frac{1}{3} - 2 + 5

Vereinfache

\frac{1}{3} - 2 + 5 : \frac{10}{3}

= \frac{10}{3}

Graph

Beliebte Beispiele

sum from n=1 to infinity of 2^{-3n}

n = 1 \sum \infty 2^{- 3 n}

d/(dy)(9xe^{-1/(y^3)})

\frac{d}{d y} (9 x e^{- \frac{1}{y ^{3}}})

integral of e^{x^2+3}

\int e^{x^{2} + 3} d x

steigung y=8x-x^2,(1,7)

s l o p e y = 8 x - x^{2}, (1, 7)

y^{''}-2y^'-8y=0\quad y(0)=-2,y^'(0)=4

y^{^{''}} - 2 y^{^{'}} - 8 y = 0 y (0) = - 2, y^{^{'}} (0) = 4