integral of 24x^3-18x^2+8x

Lösung

\int 24 x^{3} - 18 x^{2} + 8 x d x

6 x^{4} - 6 x^{3} + 4 x^{2} + C

Schritte zur Lösung

\int 24 x^{3} - 18 x^{2} + 8 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 24 x^{3} d x - \int 18 x^{2} d x + \int 8 x d x

\int 24 x^{3} d x = 6 x^{4}

\int 18 x^{2} d x = 6 x^{3}

\int 8 x d x = 4 x^{2}

= 6 x^{4} - 6 x^{3} + 4 x^{2}

Füge eine Konstante zur Lösung hinzu

= 6 x^{4} - 6 x^{3} + 4 x^{2} + C

\frac{d}{d x} (e^{1 - 2 x})

n = 1 \sum \infty 2^{n} x^{n} n!

\int_{0}^{\frac{π}{4}} x cos (2 x) d x

y^{^{'}} x = y^{3}

\int_{0}^{2 π} \int_{0}^{a} p d p d t