Solve. int (6x)/(x-4)dx

Konciljev56

Konciljev56

Answered question

2022-09-05

Solve. 6 x x 4 d x

Answer & Explanation

detegerex

detegerex

Beginner2022-09-06Added 16 answers

6 x x 4 d x = 6 x x 4 d x
Substitution.
u = x 4 x = u + 4
du = dx
6 u + 4 u d u
= 6 u u d u + 6 4 u d u
= 6 u + 24 1 u d u
= 6 u + 24 ln | u | + C
Replace u = x-4 in there for the final answer.
= 6 ( x 4 ) + 24 ln | x 4 | + C

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