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Beliebt Rechnen >

integral of 3x^2+ln(x)

Lösung

\int 3 x^{2} + ln (x) d x

Lösung

x^{3} + x ln (x) - x + C

Schritte zur Lösung

\int 3 x^{2} + ln (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 3 x^{2} d x + \int ln (x) d x

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

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

= x^{3} + x ln (x) - x

Füge eine Konstante zur Lösung hinzu

= x^{3} + x ln (x) - x + C

Graph

Beliebte Beispiele

integral of 1/((x^2+5)^2)

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

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\int cos (4 x) sin (2 x) d x

integral of ((2x+1))/(x^2+4x-21)

\int \frac{( 2 x + 1 )}{x ^{2} + 4 x - 21} d x

integral of (4-x^2)^{0.5}

\int (4 - x^{2})^{0.5} d x

integral of sech(ln(x))

\int sech (ln (x)) d x