Помогите, пожалуйста, найти интеграл
int (3 * x^2 + 8 * x)/(x^3 + 4 * x^2 + 4) dx
int (3 * x^2 + 8 * x)/(x^3 + 4 * x^2 + 4) dx =
= int 1/(x^3 + 4 * x^2 + 4) d(x^3 + 4 * x^2) =
= int 1/(x^3 + 4 * x^2 + 4) d(x^3 + 4 * x^2 + 4) = | x^3 + 4 * x^2 + 4 = t | =
= int 1/t dt = ln |t| + C = | t = x^3 + 4 * x^2 + 4 | = ln |x^3 + 4 * x^2 + 4| + C
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