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Beliebt Rechnen >

integral of 3x^2+4x+8

Lösung

\int 3 x^{2} + 4 x + 8 d x

Lösung

x^{3} + 2 x^{2} + 8 x + C

Schritte zur Lösung

\int 3 x^{2} + 4 x + 8 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 4 x d x + \int 8 d x

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

\int 4 x d x = 2 x^{2}

\int 8 d x = 8 x

= x^{3} + 2 x^{2} + 8 x

Füge eine Konstante zur Lösung hinzu

= x^{3} + 2 x^{2} + 8 x + C

Graph

Beliebte Beispiele

integral of (64)/((x^2+4)^2)

\int \frac{64}{( x ^{2} + 4 ) ^{2}} d x

integral of 5/((t^2-25)^2)

\int \frac{5}{( t ^{2} - 25 ) ^{2}} d t

integral of (20x)/((x^2+1)^2)

\int \frac{20 x}{( x ^{2} + 1 ) ^{2}} d x

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

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

integral of 7cos(sqrt(2x))

\int 7 cos (2 x) d x