展開する (2x^2t-2x^3)dt+(4x^3-6x^2t+2xt^2)dx

解

展開する

(2 x^{2} t - 2 x^{3}) d t + (4 x^{3} - 6 x^{2} t + 2 x t^{2}) d x

2 x^{2} t d t - 2 x^{3} d t + 4 x^{3} d x - 6 x^{2} t d x + 2 x t^{2} d x

解答ステップ

(2 x^{2} t - 2 x^{3}) d t + (4 x^{3} - 6 x^{2} t + 2 x t^{2}) d x

拡張

d t (2 x^{2} t - 2 x^{3}) : 2 x^{2} t d t - 2 x^{3} d t

= 2 x^{2} t d t - 2 x^{3} d t + (4 x^{3} - 6 x^{2} t + 2 x t^{2}) d x

拡張

d x (4 x^{3} - 6 x^{2} t + 2 x t^{2}) : 4 x^{3} d x - 6 x^{2} t d x + 2 x t^{2} d x

= 2 x^{2} t d t - 2 x^{3} d t + 4 x^{3} d x - 6 x^{2} t d x + 2 x t^{2} d x