Hello Professor V. I just wanna let you know without you, I think I probably had struggle or even failed my calc 2. Thank you so much, Professor V. The daily integral is what me led me to discover the channel, so I think it literally saved me : ) As for this day Integral, I found myself cheesing the answer by doing U sub, on 1/(x^4 +x) by rewriting them into (x^-4)/(1+x^-3).
You’re so welcome! I’m glad this series of videos helped you discover my channel. ☺️☺️ And congratulations on doing so well in Calc 2! I like your solution approach too 👍🏻 u-sub is always a nice technique!
You might want to combine the logarithms in the final answer to clean it up. It makes checking a bit easier. The answer can be cleaned to 1/3*ln|x^3/(x^3+1)| + C
@@mathwithprofessorv I must admit that I didn't watch the video but rather skipped to the final answer (after evaluating myself). I apologize that I missed the remark about the final form (expanded vs. contracted).
No problem at all! I just didn’t want anyone to think they would lose points on an exam for not combining logarithms if the directions didn’t specify it was required. ☺️
Hello Professor V.
I just wanna let you know without you, I think I probably had struggle or even failed my calc 2. Thank you so much, Professor V.
The daily integral is what me led me to discover the channel, so I think it literally saved me : )
As for this day Integral, I found myself cheesing the answer by doing U sub, on 1/(x^4 +x) by rewriting them into (x^-4)/(1+x^-3).
You’re so welcome! I’m glad this series of videos helped you discover my channel. ☺️☺️ And congratulations on doing so well in Calc 2!
I like your solution approach too 👍🏻 u-sub is always a nice technique!
@@mathwithprofessorvwouldn’t have been easier to factor out x^4?
At the 4:30 mark shouldn’t you have Bx not just B?
Yes, whoops! 😬 Good catch.
You might want to combine the logarithms in the final answer to clean it up. It makes checking a bit easier. The answer can be cleaned to
1/3*ln|x^3/(x^3+1)| + C
Totally up to you based on preference or what you’ll be using the antiderivative for. 👍🏻As I mentioned, the answer key left the logarithms expended.
@@mathwithprofessorv I must admit that I didn't watch the video but rather skipped to the final answer (after evaluating myself). I apologize that I missed the remark about the final form (expanded vs. contracted).
No problem at all! I just didn’t want anyone to think they would lose points on an exam for not combining logarithms if the directions didn’t specify it was required. ☺️