integral of 8x^3+30x-1

Lösung

\int 8 x^{3} + 30 x - 1 d x

2 x^{4} + 15 x^{2} - x + C

Schritte zur Lösung

\int 8 x^{3} + 30 x - 1 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 8 x^{3} d x + \int 30 x d x - \int 1 d x

\int 8 x^{3} d x = 2 x^{4}

\int 30 x d x = 15 x^{2}

\int 1 d x = x

= 2 x^{4} + 15 x^{2} - x

Füge eine Konstante zur Lösung hinzu

= 2 x^{4} + 15 x^{2} - x + C

\frac{d}{d x} (\frac{x ^{3} - y ^{3}}{x ^{2} + y ^{2}})

\frac{\partial}{\partial x} (cos^{4} (x^{8} y^{7}))

\int e^{- c o s (x)} sin (x) d x

\frac{\partial}{\partial x} (\frac{1}{4 x})

\frac{\partial}{\partial x} (3 x e^{7 x y})