erweitern sqrt(x)(ax-x)^2dx

Lösung

erweitern

x (a x - x)^{2} d x

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

Schritte zur Lösung

x (a x - x)^{2} d x

(a x - x)^{2} = a^{2} x^{2} - 2 a x^{2} + x^{2}

= x (a^{2} x^{2} + x^{2} - 2 a x^{2}) d x

Setze Klammern

= x d x a^{2} x^{2} + x d x (- 2 a x^{2}) + x d x x^{2}

Wende Minus-Plus Regeln an

+ (- a) = - a

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

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

s im pl i f y (x - 13 - x)^{2}

e x p an d (5 x^{2} - y^{3}) d e (- 3 y^{3} + 8 x^{2})

e x p an d (x + 6 y = 1, 1) (5 x - 15 y = 10)

e x p an d sin (3 (t - 7))