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Beliebt Rechnen >

integral of (ln(12x)-ln(4x))

Lösung

\int (ln (12 x) - ln (4 x)) d x

Lösung

x ln (12 x) - x ln (4 x) + C

Schritte zur Lösung

\int ln (12 x) - ln (4 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 ln (12 x) d x - \int ln (4 x) d x

\int ln (12 x) d x = x ln (12 x) - x

\int ln (4 x) d x = x ln (4 x) - x

= x ln (12 x) - x - (x ln (4 x) - x)

Vereinfache

= x ln (12 x) - x ln (4 x)

Füge eine Konstante zur Lösung hinzu

= x ln (12 x) - x ln (4 x) + C

Graph

Beliebte Beispiele

tangent f(x)=(-8)/(x-1)

t an g e n t f (x) = \frac{- 8}{x - 1}

y^{''}+2y^'-3y=0,y(0)=6,y^'(0)=-2

y^{^{''}} + 2 y^{^{'}} - 3 y = 0, y (0) = 6, y^{^{'}} (0) = - 2

y^{^{''}} + 5 y^{^{'}} = 0

tangent f(x)=x^5,\at x=1

t an g e n t f (x) = x^{5}, at x = 1

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

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