展開する 18sin^{9x}(x)(ln(sin(x))+xcot(x))

解

展開する

18 sin^{9 x} (x) (ln (sin (x)) + x cot (x))

18 sin^{9 x} (x) ln (sin (x)) + 18 x sin^{9 x} (x) cot (x)

解答ステップ

18 sin^{9 x} (x) (ln (sin (x)) + x cot (x))

分配法則を適用する:

a (b + c) = ab + a c

a = 18 sin^{9 x} (x), b = ln (sin (x)), c = x cot (x)

= 18 sin^{9 x} (x) ln (sin (x)) + 18 sin^{9 x} (x) x cot (x)

= 18 sin^{9 x} (x) ln (sin (x)) + 18 x sin^{9 x} (x) cot (x)