integral of a+bx+x^5

Lösung

\int a + b x + x^{5} d x

a x + \frac{b x ^{2}}{2} + \frac{x ^{6}}{6} + C

Schritte zur Lösung

\int a + b x + x^{5} 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 d x + \int b x d x + \int x^{5} d x

\int a d x = a x

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

\int x^{5} d x = \frac{x ^{6}}{6}

= a x + \frac{b x ^{2}}{2} + \frac{x ^{6}}{6}

Füge eine Konstante zur Lösung hinzu

= a x + \frac{b x ^{2}}{2} + \frac{x ^{6}}{6} + C

in t e g r a l x^{- 4}

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