Предмет: Математика, автор: Rabbits23

Интегрирование способом подстановки. ребята помогите умоляююю

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Автор ответа: Мартын05
0
меняем переменную на t подстановкой:
1+2x=t;
x=(t-1)/2;
dx=dt/2;
получили интеграл:S(1/2t)dt=0.5Sdt/t=0.5ln(t)+C.
возвращаем переменную:0.5ln(t)+C=0.5ln(1+2x)+C
S - знак интеграла.
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