展开 x(x+1)dx

解答

展开

x (x + 1) d x

x^{2} d x + x d x

求解步骤

x (x + 1) d x

使用分配律:

a (b + c) = ab + a c

a = x d x, b = x, c = 1

= x d xx + x d x \cdot 1

= xx d x + 1 \cdot x d x

化简

xx d x + 1 \cdot x d x : x^{2} d x + x d x

= x^{2} d x + x d x

e x p an d e^{a t} (H (t - 1) - H (t - 2))

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

d o main f (x) = (e^{x} + 2 x)^{4}

d e g 2 r a d [(2 x^{2} + x) (5 x)]^{^{'}}

e x p an d cos (10 5^{\circ})