Select all expressions matching the value of indefinite integral int (dx)/(0.5x-8) ln(0.5x-8)^2+C v (ln(0.5x-8))/(0.5)+C √ 2ln(0.5x-8)+C

Name: Select All Expressions Matching the Value of Indefinite Integral Int (dx)/(0.5x-8) Ln(0.5x-8)^2+C V (ln(0.5x-8))/(0.5)+C √
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Question

Select all expressions matching the value of indefinite integral int (dx)/(0.5x-8) ln(0.5x-8)^2+C v (ln(0.5x-8))/(0.5)+C √ 2ln(0.5x-8)+C

Answer 1

The correct answer is:

Explanation: The indefinite integral

can be solved using the substitution method. Let

, then

. Substituting these into the integral, we get

. The integral of

is

, so the final answer is

.

Вопрос

Select all expressions matching the value of indefinite integral int (dx)/(0.5x-8) ln(0.5x-8)^2+C v (ln(0.5x-8))/(0.5)+C √ 2ln(0.5x-8)+C

Решения

Ответ