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Beliebt Rechnen >

integral from-1 to 1 of x^2+1

Lösung

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

Lösung

\frac{8}{3}

+1

Dezimale

2.66666 \dots

Schritte zur Lösung

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

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

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

= \frac{2}{3} + 2

Vereinfache

\frac{2}{3} + 2 : \frac{8}{3}

= \frac{8}{3}

Graph

Beliebte Beispiele

tangent f(x)=x^2-2,\at x=a

t an g e n t f (x) = x^{2} - 2, at x = a

integral of (x+1)/(x^2+7x+10)

\int \frac{x + 1}{x ^{2} + 7 x + 10} d x

integral of 12-8x+x^2

\int 12 - 8 x + x^{2} d x

(d^2S)/(dx^2)=S

\frac{d ^{2} S}{d x ^{2}} = S

limit as x approaches-infinity of-3x^3-x

x \to - \infty lim (- 3 x^{3} - x)