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Beliebt Rechnen >

integral from 1 to 2 of 3ln(4x)

Lösung

\int_{1}^{2} 3 ln (4 x) d x

Lösung

3 (4 ln (2) - 1)

+1

Dezimale

5.31776 \dots

Schritte zur Lösung

\int_{1}^{2} 3 ln (4 x) d x

Entferne die Konstante:

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

= 3 \cdot \int_{1}^{2} ln (4 x) d x

Wende die partielle Integration an

= 3 [x ln (4 x) - \int 1 d x]_{1}^{2}

\int 1 d x = x

= 3 [x ln (4 x) - x]_{1}^{2}

Berechne die Grenzen:

4 ln (2) - 1

= 3 (4 ln (2) - 1)

Graph

Beliebte Beispiele

integral of-3x^{-2}

\int - 3 x^{- 2} d x

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

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

limit as x approaches 0 of ((ee^{-ax}-e^{-bx}))/x

x \to 0 lim (\frac{( e e ^{- a x} - e ^{- b x} )}{x})

derivative f(x)=x^3-3x+1

d er i v a t i v e f (x) = x^{3} - 3 x + 1

fläche x=36-y^2,x=y^2-36

a re a x = 36 - y^{2}, x = y^{2} - 36