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

Lösung

erweitern

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

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

Schritte zur Lösung

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

Multipliziere aus

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

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

Multipliziere aus

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

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

s im pl i f y 10 (lo g_{10} (61) + 12)

e x p an d \frac{d}{d x} (2) - e^{x} (x - 7)

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

e x p an d (6 sin (θ) + 5)^{2}

e x p an d csc (x) (csc (x) - cos^{2} (\cdot csc (x)))