integral of 5x^4-7x^6-3x^2

Lösung

\int 5 x^{4} - 7 x^{6} - 3 x^{2} d x

x^{5} - x^{7} - x^{3} + C

Schritte zur Lösung

\int 5 x^{4} - 7 x^{6} - 3 x^{2} 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 5 x^{4} d x - \int 7 x^{6} d x - \int 3 x^{2} d x

\int 5 x^{4} d x = x^{5}

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

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

= x^{5} - x^{7} - x^{3}

Füge eine Konstante zur Lösung hinzu

= x^{5} - x^{7} - x^{3} + C

\frac{\partial}{\partial u} (\frac{v + u}{2})

\frac{d}{d x} (3 x^{3} y)

\int_{0}^{3} \frac{1}{x} d x

\int_{0}^{t} x e^{- x} d x

x y^{^{'}} - y = 2 x^{2} - 2 x - 2