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Beliebt Rechnen >

integral from 0 to 3 of (x-9)^2

Lösung

\int_{0}^{3} (x - 9)^{2} d x

Lösung

171

Schritte zur Lösung

\int_{0}^{3} (x - 9)^{2} d x

Multipliziere aus

(x - 9)^{2} : x^{2} - 18 x + 81

= \int_{0}^{3} x^{2} - 18 x + 81 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} x^{2} d x - \int_{0}^{3} 18 x d x + \int_{0}^{3} 81 d x

\int_{0}^{3} x^{2} d x = 9

\int_{0}^{3} 18 x d x = 81

\int_{0}^{3} 81 d x = 243

= 9 - 81 + 243

Vereinfache

= 171

Graph

Beliebte Beispiele

integral from pi/2 to pi of sin(x)

\int_{\frac{π}{2}}^{π} sin (x) d x

(dy}{dx}=-\frac{4x)/y

\frac{d y}{d x} = - \frac{4 x}{y}

f(x)=sin(x)tan(x)

f (x) = sin (x) tan (x)

tangent y=e^{3x}cos(pix)

t an g e n t y = e^{3 x} cos (π x)

integral of (x^2)/((3+4x-4x^2)^{3/2)}

\int \frac{x ^{2}}{( 3 + 4 x - 4 x ^{2} ) ^{\frac{3}{2}}} d x