integral of-4x^6-5x^5-2x^2+5-e^x

Lösung

\int - 4 x^{6} - 5 x^{5} - 2 x^{2} + 5 - e^{x} d x

- \frac{4 x ^{7}}{7} - \frac{5 x ^{6}}{6} - \frac{2 x ^{3}}{3} + 5 x - e^{x} + C

Schritte zur Lösung

\int - 4 x^{6} - 5 x^{5} - 2 x^{2} + 5 - e^{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 4 x^{6} d x - \int 5 x^{5} d x - \int 2 x^{2} d x + \int 5 d x - \int e^{x} d x

\int 4 x^{6} d x = \frac{4 x ^{7}}{7}

\int 5 x^{5} d x = \frac{5 x ^{6}}{6}

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

\int 5 d x = 5 x

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

= - \frac{4 x ^{7}}{7} - \frac{5 x ^{6}}{6} - \frac{2 x ^{3}}{3} + 5 x - e^{x}

Füge eine Konstante zur Lösung hinzu

= - \frac{4 x ^{7}}{7} - \frac{5 x ^{6}}{6} - \frac{2 x ^{3}}{3} + 5 x - e^{x} + C

d er i v a t i v e f (x) = arcsec (x + 2)

d er i v a t i v e x 6^{x}

\frac{\partial}{\partial x} (\frac{1}{x + 3})

x \to 0 lim (x^{2} - 1)

\frac{\partial}{\partial x} (21 x y e^{- x^{2} - y^{2}})