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Beliebt Rechnen >

integral from 1 to 4 of 5-2t+3t^2

Lösung

\int_{1}^{4} 5 - 2 t + 3 t^{2} d t

Lösung

63

Schritte zur Lösung

\int_{1}^{4} 5 - 2 t + 3 t^{2} d t

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} 5 d t - \int_{1}^{4} 2 t d t + \int_{1}^{4} 3 t^{2} d t

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

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

\int_{1}^{4} 3 t^{2} d t = 63

= 15 - 15 + 63

Vereinfache

= 63

Graph

Beliebte Beispiele

(\partial)/(\partial x)(2x+3y+4)

\frac{\partial}{\partial x} (2 x + 3 y + 4)

integral of 2x(x^2+5)^4

\int 2 x (x^{2} + 5)^{4} d x

derivative f(x)=x^2(4-x)^2

d er i v a t i v e f (x) = x^{2} (4 - x)^{2}

9sqrt(xy)(dy)/(dx)=1

9 x y \frac{d y}{d x} = 1

integral of (2x^2+3x-5)sin(x)

\int (2 x^{2} + 3 x - 5) sin (x) d x