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Beliebt Rechnen >

integral of (3m+4)^2

Lösung

\int (3 m + 4)^{2} d m

Lösung

3 m^{3} + 12 m^{2} + 16 m + C

Schritte zur Lösung

\int (3 m + 4)^{2} d m

Multipliziere aus

(3 m + 4)^{2} : 9 m^{2} + 24 m + 16

= \int 9 m^{2} + 24 m + 16 d m

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 9 m^{2} d m + \int 24 m d m + \int 16 d m

\int 9 m^{2} d m = 3 m^{3}

\int 24 m d m = 12 m^{2}

\int 16 d m = 16 m

= 3 m^{3} + 12 m^{2} + 16 m

Füge eine Konstante zur Lösung hinzu

= 3 m^{3} + 12 m^{2} + 16 m + C

Graph

Beliebte Beispiele

integral of ((3+x))/((x^2+x+1))

\int \frac{( 3 + x )}{( x ^{2} + x + 1 )} d x

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\int (sin (x))^{3} (cos (x))^{15} d x

integral of 2^x2^{2^x}

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

integral of (X^2)/(X(X^2-9))

\int \frac{X ^{2}}{X ( X ^{2} - 9 )} d X