indefinite integrals with logarithms

[polar pendant]

I was tasked to find the indefinite integral of this function using the ln function, can someone please walk me through how this is the correct answer?

[silk lily]

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[steep veldt]

yeah

do you understand until $\int x-4+\frac{6}{x+1} \mathrm dx$

[vague rivet]

wolfqz

[brittle nacelle]

simply use substitution method of solving integration

assume t = x+1
then, dt = dx (differentiate on both sides)
substitute x + 1 as t and then solve it

[steep veldt]

not necessary

[brittle nacelle]

then what else?

[steep veldt]

i mean you can directly write is as ln|x+1|

thats just a middle step

[brittle nacelle]

that's what you call doubt solving my friend

[steep veldt]

if he is familiar enough with the concept, it isnt needed

which i am assuming he is, because hes doing a question with it 🤷‍♂️

[brittle nacelle]

lets just not discuss any further on this

peace