Помогите, пожалуйста, найти интеграл
int (x + cos x)/(x^2 + 2 * sin x) dx
int (x + cos x)/(x^2 + 2 * sin x) dx = int 1/(x^2 + 2 * sin x) d(1/2 * x^2 + sin x) =
= 1/2 * int 1/(x^2 + 2 * sin x) d(x^2 + 2 * sin x) = | t = x^2 + 2 * sin x | =
= 1/2 * int 1/t dt = 1/2 * ln |t| + C = | t = x^2 + 2 * sin x | =
= 1/2 * ln |x^2 + 2 * sin x| + C
Спасибо!
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