展開する (sin(y))(x+sin(y))dx

解

展開する

(sin (y)) (x + sin (y)) d x

x sin (y) d x + sin^{2} (y) d x

解答ステップ

(sin (y)) (x + sin (y)) d x

分配法則を適用する:

a (b + c) = ab + a c

a = (sin (y)) d x, b = x, c = sin (y)

= (sin (y)) d xx + (sin (y)) d x sin (y)

= x (sin (y)) d x + (sin (y)) sin (y) d x

簡素化

x (sin (y)) d x + (sin (y)) sin (y) d x : x sin (y) d x + sin^{2} (y) d x

= x sin (y) d x + sin^{2} (y) d x