erweitern (x-1)^3dx

Lösung

erweitern

(x - 1)^{3} d x

x^{3} d x - 3 x^{2} d x + 3 x d x - d x

Schritte zur Lösung

(x - 1)^{3} d x

(x - 1)^{3} = x^{3} - 3 x^{2} + 3 x - 1

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

Setze Klammern

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

Wende Minus-Plus Regeln an

+ (- a) = - a

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

Multipliziere:

1 \cdot d x = d x

= x^{3} d x - 3 x^{2} d x + 3 x d x - d x

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

e x p an d \frac{4 ( 3 - 3 )}{3 π}

e x p an d \frac{4 L ^{3} x}{( x ^{2} + L ^{2} ) ^{2}}

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

e x p an d \frac{\frac{d}{d x} ( ( x ^{2} - 4 x + 1 ) 3 )}{2}