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Beliebt Rechnen >

integral from 0 to 1 of (5x^2+sqrt(x))

Lösung

\int_{0}^{1} (5 x^{2} + x) d x

Lösung

\frac{7}{3}

+1

Dezimale

2.33333 \dots

Schritte zur Lösung

\int_{0}^{1} 5 x^{2} + x 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} 5 x^{2} d x + \int_{0}^{1} x d x

\int_{0}^{1} 5 x^{2} d x = \frac{5}{3}

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

= \frac{5}{3} + \frac{2}{3}

Vereinfache

\frac{5}{3} + \frac{2}{3} : \frac{7}{3}

= \frac{7}{3}

Graph

Beliebte Beispiele

integral from 3 to 3.6 of 1/x

\int_{3}^{3.6} \frac{1}{x} d x

integral from 1 to 8 of x^2sqrt(x^3+1)

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

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

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

integral from 1 to x+c of 1

\int_{1}^{x + c} 1 d x

integral from-3 to 3 of 3-|x|

\int_{- 3}^{3} 3 - ∣ x ∣ d x