erweitern (x=2x+x^2+1/3 x^3)dx

Lösung

erweitern

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

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

Schritte zur Lösung

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

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

Setze Klammern

d xx = 2 x + d x x^{2} + d x \frac{1}{3} x^{3}

x d x = 2 x + x^{2} d x + \frac{1}{3} x^{3} d x

Multipliziere aus

2 x + x^{2} d x + \frac{1}{3} x^{3} d x : 2 x + x^{2} d x + \frac{x ^{3} d x}{3}

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

e x p an d (a + b 2) (c + d 2) (e + f 2)

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

s im pl i f y (1 + \frac{2}{x ^{2} - 1}) \cdot (x + (\frac{1}{x}))

e x p an d \frac{( 2 11 - 1 ) ( 3 + 2 2 )}{5}

e x p an d (1 + cos (θ)) sin (θ)