Integral of the Day 6.6.24 | Rational Function and Partial Fractions! | Math with Professor V

Here's your latest Integral of the Day! I loved this problem, especially because the integration at the end worked out so beautifully. How did you solve it? Let me know in the comments below!

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[timeaccel]

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).

[tlhiv]

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

[judeloeffler]

At the 4:30 mark shouldn’t you have Bx not just B?