integral of-2x^2+6x

Lösung

\int - 2 x^{2} + 6 x d x

- \frac{2 x ^{3}}{3} + 3 x^{2} + C

Schritte zur Lösung

\int - 2 x^{2} + 6 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 2 x^{2} d x + \int 6 x d x

\int 2 x^{2} d x = \frac{2 x ^{3}}{3}

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

= - \frac{2 x ^{3}}{3} + 3 x^{2}

Füge eine Konstante zur Lösung hinzu

= - \frac{2 x ^{3}}{3} + 3 x^{2} + C

d er i v a t i v e (cos^{2} (s) - 11 s^{2})^{2}

\frac{d}{d x} (- 3 cot (x) csc (x))

\frac{d}{d x} ((1 + x^{4} tan (x))^{- 5})

x \to 4 + lim (\frac{3 + x}{4 - x})

d er i v a t i v e f (x) = \frac{3 x ^{5}}{5} - \frac{10 x ^{4}}{3}