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

Lösung

erweitern

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

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

Schritte zur Lösung

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

Multipliziere aus

d x (3 x y^{2} + 3 x^{2}) : 3 x y^{2} d x + 3 x^{2} d x

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

Multipliziere aus

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

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

e x p an d \frac{1}{s ^{2} ( s ^{2} + 7 )}

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

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

e x p an d (9 x + 45 x^{2} + 98 7^{3})^{5}

e x p an d (x - y = arcsin (x) - arcsin (y)) \frac{d y}{d x}