Could someone check if I have the right answer for this? I tried wolfram alpha but it used a long division method instead of u substitution.
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You indeed have got the right answer. It is integration by simple substitution. No offences but I wonder why do you even need to check this on the forum ?
Presumably, you let u= x- 3 so that du= dx and u+ 3= x. That gives, of course, as you have.
I have no idea what you mean by "a long division method". You could, of course, do this by multiplying: so .
I wanted to check because it looks nothing like the answer wolframalpha produced, so thought it may be wrong.
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