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Beliebt Rechnen >

integral from 0 to 7 of sqrt(1+9x)

Lösung

\int_{0}^{7} 1 + 9 x d x

Lösung

\frac{1022}{27}

+1

Dezimale

37.85185 \dots

Schritte zur Lösung

\int_{0}^{7} 1 + 9 x d x

Wende U-Substitution an

= \int_{1}^{64} \frac{u}{9} d u

Entferne die Konstante:

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

= \frac{1}{9} \cdot \int_{1}^{64} u d u

Wende die Potenzregel an

= \frac{1}{9} [\frac{2}{3} u^{\frac{3}{2}}]_{1}^{64}

Berechne die Grenzen:

\frac{1022}{3}

= \frac{1}{9} \cdot \frac{1022}{3}

Vereinfache

= \frac{1022}{27}

Graph

Beliebte Beispiele

6y^{'''}+3y^{''}=0

6 y^{^{'''}} + 3 y^{^{''}} = 0

tangent 3/((x+6)),\at x=-4

t an g e n t \frac{3}{( x + 6 )}, at x = - 4

y^{^{'}} = 7 x + y

(dy)/(dx)+3xy^2=0,y(0)=1

\frac{d y}{d x} + 3 x y^{2} = 0, y (0) = 1

derivative of ((6x^2/(4-x))^3)

\frac{d}{d x} ((\frac{6 x ^{2}}{4 - x})^{3})