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Beliebt Rechnen >

integral from 0 to 6 of sqrt(6x+64)

Lösung

\int_{0}^{6} 6 x + 64 d x

Lösung

\frac{488}{9}

+1

Dezimale

54.22222 \dots

Schritte zur Lösung

\int_{0}^{6} 6 x + 64 d x

Wende U-Substitution an

= \int_{64}^{100} \frac{u}{6} d u

Entferne die Konstante:

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

= \frac{1}{6} \cdot \int_{64}^{100} u d u

Wende die Potenzregel an

= \frac{1}{6} [\frac{2}{3} u^{\frac{3}{2}}]_{64}^{100}

Berechne die Grenzen:

\frac{976}{3}

= \frac{1}{6} \cdot \frac{976}{3}

Vereinfache

= \frac{488}{9}

Graph

Beliebte Beispiele

integral of x/((x+1))

\int \frac{x}{( x + 1 )} d x

tangent f(x)= 4/(x+1),\at x=6

t an g e n t f (x) = \frac{4}{x + 1}, at x = 6

integral of 1/(2y-1)

\int \frac{1}{2 y - 1} d y

tangent y=(x^3+2)(3x^2-4x+2),(1,3)

t an g e n t y = (x^{3} + 2) (3 x^{2} - 4 x + 2), (1, 3)

tangent x^2(2.4)

t an g e n t x^{2} (2.4)