integral of 1+2x-4x^3

Lösung

\int 1 + 2 x - 4 x^{3} d x

x + x^{2} - x^{4} + C

Schritte zur Lösung

\int 1 + 2 x - 4 x^{3} 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 1 d x + \int 2 x d x - \int 4 x^{3} d x

\int 1 d x = x

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

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

= x + x^{2} - x^{4}

Füge eine Konstante zur Lösung hinzu

= x + x^{2} - x^{4} + C

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