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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{46}{3}

+1

Dezimale

15.33333 \dots

Schritte zur Lösung

\int_{1}^{3} 2 x^{2} - 2 x + 3 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}^{3} 2 x^{2} d x - \int_{1}^{3} 2 x d x + \int_{1}^{3} 3 d x

\int_{1}^{3} 2 x^{2} d x = \frac{52}{3}

\int_{1}^{3} 2 x d x = 8

\int_{1}^{3} 3 d x = 6

= \frac{52}{3} - 8 + 6

Vereinfache

\frac{52}{3} - 8 + 6 : \frac{46}{3}

= \frac{46}{3}

Graph

Beliebte Beispiele

integral of sin((npix)/l)

\int sin (\frac{nπ x}{l}) d x

integral from 0 to 3y-5 of xy^2

\int_{0}^{3 y - 5} x y^{2} d x

integral of e^{-y^2}

\int e^{- y^{2}} d y

tangent y= 2/x ,(-3,-2/3)

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

y^{^{'}} y^{^{''}} = 2