erweitern (y^2e^{xy^2}+4x^3)dx

Lösung

erweitern

(y^{2} e^{x y^{2}} + 4 x^{3}) d x

e^{y^{2} x} y^{2} d x + 4 x^{3} d x

Schritte zur Lösung

(y^{2} e^{x y^{2}} + 4 x^{3}) d x

= (e^{y^{2} x} y^{2} + 4 x^{3}) d x

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = d x, b = y^{2} e^{x y^{2}}, c = 4 x^{3}

= d x y^{2} e^{x y^{2}} + d x \cdot 4 x^{3}

= e^{y^{2} x} y^{2} d x + 4 x^{3} d x

e x p an d \frac{4 ( k + 6 )}{k ^{2} + 10 k + 21}

e x p an d \frac{x ^{2} + 2 x + 12}{2 ( x + 2 )}

e x p an d 30 (\frac{1}{3} sin (3 x) - \frac{1}{2} cos (2 x) + \frac{1}{5} e^{5 x})

\frac{d}{d y} ((x) (- 5 x^{2} + 20 x + 2))

e x p an d 2^{4}