展開する (sinh(x))(coth^2(x)+csch^3(x))dx

解

展開する

(sinh (x)) (coth^{2} (x) + csch^{3} (x)) d x

coth^{2} (x) sinh (x) d x + csch^{3} (x) sinh (x) d x

解答ステップ

(sinh (x)) (coth^{2} (x) + csch^{3} (x)) d x

分配法則を適用する:

a (b + c) = ab + a c

a = (sinh (x)) d x, b = coth^{2} (x), c = csch^{3} (x)

= (sinh (x)) d x coth^{2} (x) + (sinh (x)) d x csch^{3} (x)

= (sinh (x)) coth^{2} (x) d x + (sinh (x)) csch^{3} (x) d x

括弧を削除する:

(a) = a

= coth^{2} (x) sinh (x) d x + csch^{3} (x) sinh (x) d x