erweitern x^{1/3}(1-2x)dx

Lösung

erweitern

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

x^{\frac{1}{3}} d x - 2 x^{\frac{4}{3}} d x

Schritte zur Lösung

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

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = x^{\frac{1}{3}} d x, b = 1, c = 2 x

= x^{\frac{1}{3}} d x \cdot 1 - x^{\frac{1}{3}} d x \cdot 2 x

= 1 \cdot x^{\frac{1}{3}} d x - 2 x x^{\frac{1}{3}} d x

Vereinfache

1 \cdot x^{\frac{1}{3}} d x - 2 x x^{\frac{1}{3}} d x : x^{\frac{1}{3}} d x - 2 x^{\frac{4}{3}} d x

= x^{\frac{1}{3}} d x - 2 x^{\frac{4}{3}} d x

e x p an d \frac{( x e ^{x} )}{x ^{2}}

e x p an d a (3, - 1) b (3, 7)

e x p an d (1 + 2 e^{\frac{x}{y}}) d x + 2 e^{\frac{x}{y}} (1 - \frac{x}{y}) d y

e x p an d e^{x} (x^{2} + x)

e x p an d n (\frac{( 4 - π ) θ}{4 n} + \frac{π θ}{4})