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Beliebt Rechnen >

integral from 0 to 1 of x(x+y)

Lösung

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

Lösung

\frac{y}{2} + \frac{1}{3}

Schritte zur Lösung

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

Multipliziere aus

(y + x) x : y x + x^{2}

= \int_{0}^{1} y x + x^{2} 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} y x d x + \int_{0}^{1} x^{2} d x

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

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

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

Beliebte Beispiele

integral from 1 to 4 of (1-x^2)

\int_{1}^{4} (1 - x^{2}) d x

integral from 0 to 6 of 5

\int_{0}^{6} 5 d x

integral from 0 to 1 of x-1/2

\int_{0}^{1} x - \frac{1}{2} d x

integral from 1 to 3 of 6-2x

\int_{1}^{3} 6 - 2 x d x

integral from 0 to 4 of 4sqrt(x)

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