Вопрос
Select all expressions matching the value of indefinite integral int (e^u+((1)/(2))^x)dx e^ux+(0.5^x)/(ln0.5)+C e^ux-(2^-x)/(ln0.5)+C greener e^ux-(2^-x)/(ln2)+C
Решения
3.5
(296 Голоса)
Белла
Экспертная проверка
мастер · Репетитор 5 лет
Ответ
The correct answer is:
Explanation:The indefinite integral
can be evaluated by integrating each term separately.For the first term
, the integral is
.For the second term
, we can rewrite it as
. The integral of
is
.Therefore, the correct expression for the indefinite integral is
, where
is the constant of integration.