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Beliebt Rechnen >

integral from 0 to 1 of (x^2+3x+4)

Lösung

\int_{0}^{1} (x^{2} + 3 x + 4) d x

Lösung

\frac{35}{6}

+1

Dezimale

5.83333 \dots

Schritte zur Lösung

\int_{0}^{1} x^{2} + 3 x + 4 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}^{1} x^{2} d x + \int_{0}^{1} 3 x d x + \int_{0}^{1} 4 d x

\int_{0}^{1} x^{2} d x = \frac{1}{3}

\int_{0}^{1} 3 x d x = \frac{3}{2}

\int_{0}^{1} 4 d x = 4

= \frac{1}{3} + \frac{3}{2} + 4

Vereinfache

\frac{1}{3} + \frac{3}{2} + 4 : \frac{35}{6}

= \frac{35}{6}

Graph

Beliebte Beispiele

limit as x approaches-3 of (3-x)/(3+x)

x \to - 3 lim (\frac{3 - x}{3 + x})

derivative 2(ln(x)+1)

d er i v a t i v e 2 (ln (x) + 1)

integral of 1/(x^e)

\int \frac{1}{x ^{e}} d x

derivative y=6log_{5}(x^2-6)

d er i v a t i v e y = 6 lo g_{5} (x^{2} - 6)

derivative y=(5-2x^3)^3

d er i v a t i v e y = (5 - 2 x^{3})^{3}