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Beliebt Rechnen >

integral from 0 to 5 of-6x

Lösung

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

Lösung

- 75

Schritte zur Lösung

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

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - 6 \cdot \int_{0}^{5} x d x

Wende die Potenzregel an

= - 6 [\frac{x ^{2}}{2}]_{0}^{5}

Berechne die Grenzen:

\frac{25}{2}

= - 6 \cdot \frac{25}{2}

Vereinfache

= - 75

Graph

Beliebte Beispiele

integral from-1 to 2 of (x+5)

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

derivative f(x)=5.5x+2.2

d er i v a t i v e f (x) = 5.5 x + 2.2

derivative of-(300/(x^4))

\frac{d}{d x} (- \frac{300}{x ^{4}})

integral from 1 to 10 of (17)/(x^3)

\int_{1}^{10} \frac{17}{x ^{3}} d x

integral of (tan(ln(3x+4)))/(3x+4)

\int \frac{tan ( ln ( 3 x + 4 ) )}{3 x + 4} d x