-П-arcana+2Пn;arcsina+2Пn
(sin³(ln²(5x))'=3•sin²(ln²(5x))•(ln²(5x))'=
3•sin²(ln²(5x)•((sin(ln²(5x))'
=3•sin²(ln²(5x))•cos(ln²(5x)
•(ln²(5x))'=3sin²(ln²x)•
cos(ln²(5x)•2•ln(5x)•5/(5x)
25x² + 8x = 9x² - 18x
25x² + 8x - 9x² + 18x = 0
16x² + 26 x = 0
8x² + 13x = 0
x(8x + 13) = 0
или x₁ = 0 или 8x + 13 = 0
8x = - 13
x₂ = - 1,625
Ответ : - 1,625 , 0