Вопрос
Select all expressions matching the value of indefinite integral int 2^3x-2dx (2^3x-2)/(ln2)+C 3cdot 2^3x-2+C (8^x)/(12ln2)+C (2^3x-2)/(3ln2)+C
Решения
4.4
(233 Голоса)
Лада
Экспертная проверка
ветеран · Репетитор 9 лет
Ответ
The correct answer is
.To evaluate the indefinite integral
, we can use the substitution method. Let
, then
, and
.Substituting these values into the integral, we get:
Now, we can integrate
with respect to
:
Finally, substituting back
, we get:
Therefore, the correct expression matching the value of the indefinite integral is
.