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Beliebt Rechnen >

integral of (5x^3-7x^2+3x+4)

Lösung

\int (5 x^{3} - 7 x^{2} + 3 x + 4) d x

Lösung

\frac{5 x ^{4}}{4} - \frac{7 x ^{3}}{3} + \frac{3 x ^{2}}{2} + 4 x + C

Schritte zur Lösung

\int 5 x^{3} - 7 x^{2} + 3 x + 4 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 5 x^{3} d x - \int 7 x^{2} d x + \int 3 x d x + \int 4 d x

\int 5 x^{3} d x = \frac{5 x ^{4}}{4}

\int 7 x^{2} d x = \frac{7 x ^{3}}{3}

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

\int 4 d x = 4 x

= \frac{5 x ^{4}}{4} - \frac{7 x ^{3}}{3} + \frac{3 x ^{2}}{2} + 4 x

Füge eine Konstante zur Lösung hinzu

= \frac{5 x ^{4}}{4} - \frac{7 x ^{3}}{3} + \frac{3 x ^{2}}{2} + 4 x + C

Graph

Beliebte Beispiele

f (x) = (ln (x))^{x}

integral of sqrt(4t^2+9t^4)

\int 4 t^{2} + 9 t^{4} d t

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

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

derivative (x^4)/4

d er i v a t i v e \frac{x ^{4}}{4}

tangent f(x)=9e^xcos(x),\at x=0

t an g e n t f (x) = 9 e^{x} cos (x), at x = 0