erweitern (6xy^3+cos(y))dx+(3kx^2y^2-3y^2)dy

Lösung

erweitern

(6 x y^{3} + cos (y)) d x + (3 k x^{2} y^{2} - 3 y^{2}) d y

6 x y^{3} d x + cos (y) d x + 3 k x^{2} y^{2} d y - 3 y^{2} d y

Schritte zur Lösung

(6 x y^{3} + cos (y)) d x + (3 k x^{2} y^{2} - 3 y^{2}) d y

Multipliziere aus

d x (6 x y^{3} + cos (y)) : 6 x y^{3} d x + cos (y) d x

= 6 x y^{3} d x + cos (y) d x + (3 k x^{2} y^{2} - 3 y^{2}) d y

Multipliziere aus

d y (3 k x^{2} y^{2} - 3 y^{2}) : 3 k x^{2} y^{2} d y - 3 y^{2} d y

= 6 x y^{3} d x + cos (y) d x + 3 k x^{2} y^{2} d y - 3 y^{2} d y

e x p an d f (15 x^{4} - 33 x^{2} + 4) d x

e x p an d \frac{s + 6}{( s - 1 ) ( s - 2 ) ^{2}}

e x p an d \frac{( 2 x + 1 ) ( x - 9 )}{x + 7}

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

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