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Select 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

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 .