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
Решения
3.1
(323 Голоса)
Ульрика
Экспертная проверка
мастер · Репетитор 5 лет
Ответ
To find the indefinite integral of
, we can use the substitution method.Let
, then
.Substituting
and
into the integral, we get:
Now, we can integrate
with respect to
:
Using the formula for the integral of
, where
is a constant, we have:
Simplifying, we get:
Now, substituting back
, we get:
Therefore, the correct answer is
.