integral of 100-2x

Lösung

\int 100 - 2 x d x

100 x - x^{2} + C

Schritte zur Lösung

\int 100 - 2 x 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 100 d x - \int 2 x d x

\int 100 d x = 100 x

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

= 100 x - x^{2}

Füge eine Konstante zur Lösung hinzu

= 100 x - x^{2} + C

\int_{1}^{2} (2 x - 5)^{3} d x

\frac{d}{d x} ((\frac{x + 2}{x - 2})^{2})

\int (x - x + 1) (x + 1) d x

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