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Beliebt Rechnen >

integral from 0 to 2 of 5t^9

Lösung

\int_{0}^{2} 5 t^{9} d t

Lösung

512

Schritte zur Lösung

\int_{0}^{2} 5 t^{9} d t

Entferne die Konstante:

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

= 5 \cdot \int_{0}^{2} t^{9} d t

Wende die Potenzregel an

= 5 [\frac{t ^{10}}{10}]_{0}^{2}

Berechne die Grenzen:

\frac{512}{5}

= 5 \cdot \frac{512}{5}

Vereinfache

= 512

Graph

Beliebte Beispiele

derivative of x^6e^{5x}

\frac{d}{d x} (x^{6} e^{5 x})

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

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

tangent y= 1/(x^3),(2, 1/8)

t an g e n t y = \frac{1}{x ^{3}}, (2, \frac{1}{8})

derivative of 5+4x

\frac{d}{d x} (5 + 4 x)

(\partial)/(\partial y)(cos(2x)sin(3y))

\frac{\partial}{\partial y} (cos (2 x) sin (3 y))