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Beliebt Rechnen >

integral from 1 to 9 of (3x-2)/(sqrt(x))

Lösung

\int_{1}^{9} \frac{3 x - 2}{x} d x

Lösung

44

Schritte zur Lösung

\int_{1}^{9} \frac{3 x - 2}{x} d x

Multipliziere aus

\frac{3 x - 2}{x} : 3 x - \frac{2}{x}

= \int_{1}^{9} 3 x - \frac{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_{1}^{9} 3 x d x - \int_{1}^{9} \frac{2}{x} d x

\int_{1}^{9} 3 x d x = 52

\int_{1}^{9} \frac{2}{x} d x = 8

= 52 - 8

Vereinfache

= 44

Graph

Beliebte Beispiele

integral of sec^3(5x)tan^2(5x)

\int sec^{3} (5 x) tan^{2} (5 x) d x

\frac{d y}{d x} = y

(\partial)/(\partial x)(m/x)

\frac{\partial}{\partial x} (\frac{m}{x})

integral of 1/((x+1)^2)

\int \frac{1}{( x + 1 ) ^{2}} d x

tangent f(x)= 9/(8-x)

t an g e n t f (x) = \frac{9}{8 - x}