Need to know if the given du value for this integral/ln solution is correct int 2/(x( ln x+5)^7) dx.

Nikolai Decker

Nikolai Decker

Answered question

2022-10-26

Need to know if the given du value for this integral/ln solution is correct
2 x ( ln x + 5 ) 7 d x for that problem the example gives u = ln x + 5 and d u = 1 x d x. based on a couple other problems I thought du should be 1 x + 5 d x The derivative of inside ln, over what's in ln left alone. Is there something I'm missing about this? Or, since it's happened quite a few times, is this written incorrectly?

Answer & Explanation

Shyla Maldonado

Shyla Maldonado

Beginner2022-10-27Added 15 answers

Note that inside the parenthesis you have
u = ln x + 5 = ln ( x ) + 5
So
d u = 1 x   d x
They omitted the parenthesis for the log. Note that ln ( x + 5 ) would never be written as ln x + 5

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