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Beliebt Rechnen >

integral from 0 to 3 of (3x^2-4x+1)

Lösung

\int_{0}^{3} (3 x^{2} - 4 x + 1) d x

Lösung

12

Schritte zur Lösung

\int_{0}^{3} 3 x^{2} - 4 x + 1 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}^{3} 3 x^{2} d x - \int_{0}^{3} 4 x d x + \int_{0}^{3} 1 d x

\int_{0}^{3} 3 x^{2} d x = 27

\int_{0}^{3} 4 x d x = 18

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

= 27 - 18 + 3

Vereinfache

= 12

Graph

Beliebte Beispiele

derivative of xsin(y/x)

\frac{d}{d x} (x sin (\frac{y}{x}))

(\partial)/(\partial x)(cos(x)cos(y)e^z)

\frac{\partial}{\partial x} (cos (x) cos (y) e^{z})

integral of 1/((x-7)^2)

\int \frac{1}{( x - 7 ) ^{2}} d x

y^{''}-5y^'-6y=12e^{2t}

y^{^{''}} - 5 y^{^{'}} - 6 y = 12 e^{2 t}

limit as x approaches 0 of 1/((x-1)^2)+2

x \to 0 lim (\frac{1}{( x - 1 ) ^{2}} + 2)