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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

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 .