erweitern (udx+xdu)x^2

Lösung

erweitern

(u d x + x d u) x^{2}

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

Schritte zur Lösung

(u d x + x d u) x^{2}

= x^{2} (u d x + x d u)

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = x^{2}, b = u d x, c = x d u

= x^{2} u d x + x^{2} x d u

= u x^{2} d x + x^{2} x d u

x^{2} x d u = x^{3} d u

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

e x p an d \frac{( x + 3 ) ( x - 3 ) m ^{2}}{24}

e x p an d \frac{5 ( x + 1 )}{x ^{2}}

e x p an d (ln (x)) \cdot (- x^{3} + 3)

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

e x p an d \frac{3 s ^{2} + 14 s + 26}{( s + 1 ) ( s ^{2} + 4 s + 8 )}