integral of ax^4+bx^3+3c

Lösung

\int a x^{4} + b x^{3} + 3 c d x

\frac{a x ^{5}}{5} + \frac{b x ^{4}}{4} + 3 c x + C

Schritte zur Lösung

\int a x^{4} + b x^{3} + 3 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 a x^{4} d x + \int b x^{3} d x + \int 3 c d x

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

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

\int 3 c d x = 3 c x

= \frac{a x ^{5}}{5} + \frac{b x ^{4}}{4} + 3 c x

Füge eine Konstante zur Lösung hinzu

= \frac{a x ^{5}}{5} + \frac{b x ^{4}}{4} + 3 c x + C

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