integral of 28x^3-18x^2+8x

Lösung

\int 28 x^{3} - 18 x^{2} + 8 x d x

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

Schritte zur Lösung

\int 28 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 28 x^{3} d x - \int 18 x^{2} d x + \int 8 x d x

\int 28 x^{3} d x = 7 x^{4}

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

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

= 7 x^{4} - 6 x^{3} + 4 x^{2}

Füge eine Konstante zur Lösung hinzu

= 7 x^{4} - 6 x^{3} + 4 x^{2} + C

(cos (x))^{^{'}}

x \to 3 lim ([3 (8) (- 10)])

\frac{d}{d x} (e^{x y}) = \frac{d}{d x} (2 y)

\int \frac{x ( y ^{2} - 5 y + 6 )}{x ^{2} + 1} d x

x \to 5 lim (in (x^{2} - 25))