integral of 5x^4-4x^5

Lösung

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

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

Schritte zur Lösung

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

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

\int 4 x^{5} d x = \frac{2 x ^{6}}{3}

= x^{5} - \frac{2 x ^{6}}{3}

Füge eine Konstante zur Lösung hinzu

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

d er i v a t i v e 35 + 35 sin (\frac{- 2 π t - π}{2})

\frac{d}{d x} (\frac{16}{( 2 x + 1 ) ^{3}})

\frac{\partial}{\partial x} (4 x - 4 x^{3})

\int (\frac{1}{( x - 1 ) ^{2}}) d x

h \to 0 lim (\frac{( ( 4 + h ) - 4 )}{h})