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Beliebt Rechnen >

integral of 7x^4-5x^3+4x^2+C

Lösung

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

Lösung

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

Schritte zur Lösung

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

\int 7 x^{4} d x = \frac{7 x ^{5}}{5}

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

\int 4 x^{2} d x = \frac{4 x ^{3}}{3}

\int C d x = C x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

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