展开 y^3(2y^2-3)dy

解答

展开

y^{3} (2 y^{2} - 3) d y

2 y^{5} d y - 3 y^{3} d y

求解步骤

y^{3} (2 y^{2} - 3) d y

使用分配律:

a (b - c) = ab - a c

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

= y^{3} d y \cdot 2 y^{2} - y^{3} d y \cdot 3

= 2 y^{3} y^{2} d y - 3 y^{3} d y

2 y^{3} y^{2} d y = 2 y^{5} d y

= 2 y^{5} d y - 3 y^{3} d y

\frac{d}{d x} ((z (x, y)) (x^{2} + y^{2}))

e x p an d lo g_{10} (3 \frac{x}{y})

e x p an d [y (4 x + y) - 2 (x^{(2)} - y)] \cdot (- 2) ln ∣ y ∣

e x p an d (\frac{x ^{2}}{2} + \frac{3}{x})^{6}

e x p an d \frac{e ^{x} - 3}{( e ^{x} - 5 ) ( e ^{x} - 7 ) ( e ^{x} + 1 )}