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Beliebt Rechnen >

integral of (ln(x)+1)

Lösung

\int (ln (x) + 1) d x

Lösung

x ln (x) + C

Schritte zur Lösung

\int ln (x) + 1 d x

Wende die partielle Integration an

= x (ln (x) + 1) - \int 1 d x

\int 1 d x = x

= x (ln (x) + 1) - x

Vereinfache

x (ln (x) + 1) - x : x ln (x)

= x ln (x)

Füge eine Konstante zur Lösung hinzu

= x ln (x) + C

Graph

Beliebte Beispiele

integral of 1/((5x-2)^{5/2)}

\int \frac{1}{( 5 x - 2 ) ^{\frac{5}{2}}} d x

(\partial)/(\partial x)(2/(x^2+y^2))

\frac{\partial}{\partial x} (\frac{2}{x ^{2} + y ^{2}})

(y^3-1)e^xdx+3y^2(e^x+1)dy=0

(y^{3} - 1) e^{x} d x + 3 y^{2} (e^{x} + 1) d y = 0

slopeintercept (2,-7),(-5,2)

s l o p e in t erce pt (2, - 7), (- 5, 2)

limit as x approaches 5 of x^2-5

x \to 5 lim (x^{2} - 5)