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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{1}{3}

+1

Dezimale

0.33333 \dots

Schritte zur Lösung

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

Multipliziere aus

(2 x - 3)^{2} : 4 x^{2} - 12 x + 9

= \int_{1}^{2} 4 x^{2} - 12 x + 9 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_{1}^{2} 4 x^{2} d x - \int_{1}^{2} 12 x d x + \int_{1}^{2} 9 d x

\int_{1}^{2} 4 x^{2} d x = \frac{28}{3}

\int_{1}^{2} 12 x d x = 18

\int_{1}^{2} 9 d x = 9

= \frac{28}{3} - 18 + 9

Vereinfache

\frac{28}{3} - 18 + 9 : \frac{1}{3}

= \frac{1}{3}

Graph

Beliebte Beispiele

inverselaplace 2/(3s^2+6s+2)

in v erse l a pl a ce \frac{2}{3 s ^{2} + 6 s + 2}

integral of 1+2sin((x^2)/2)

\int 1 + 2 sin (\frac{x ^{2}}{2}) d x

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

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

derivative f(x)=arccos(-3x)

d er i v a t i v e f (x) = arccos (- 3 x)

tangent y=sin(x)cos(x)

t an g e n t y = sin (x) cos (x)