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Beliebt Rechnen >

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

Lösung

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

Lösung

64

Schritte zur Lösung

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

Entferne die Konstante:

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

= 4 \cdot \int_{2}^{4} 3 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

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

\int_{2}^{4} 3 x d x = 18

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

= 4 (18 - 2)

Vereinfache

= 64

Graph

Beliebte Beispiele

y^{^{''}} - 100 y = 0

4 y^{^{'}} - 12 x^{2} = 0

(\partial)/(\partial x)(xsin^2(xy-y))

\frac{\partial}{\partial x} (x sin^{2} (x y - y))

integral of 3/(4x)

\int \frac{3}{4 x} d x

derivative x^2-4x+2

d er i v a t i v e x^{2} - 4 x + 2