I solved it myself before watching. This one was beautiful: per partes + partial fractions decomposition. Solution: - arctg(x)/x + lnx - (1/2) * ln |x^2 + 1| + C. Let me check it out
Anytime you have an inverse trig function in the integrand you can try it, but it may not always be helpful and work out so beautifully like it did in this problem.
I remember you already did this integral 4 months ago. But this time it's more fun because you chose to show 2 methods!!! Awesome!!!
🤣🤣 I didn’t remember until you said it! Oh my goodness! Glad today’s upload was better. 🙌🏻
Nice! I started with integration by parts, but then didn’t do PFD, and did a trig sub.
Beautiful!
Same here
I❤ so much the INTEGRALS and SERIES of the day PROF V 🙂
I solved it myself before watching. This one was beautiful: per partes + partial fractions decomposition. Solution: - arctg(x)/x + lnx - (1/2) * ln |x^2 + 1| + C. Let me check it out
It is beautiful! Nice job! 👍🏻
Hi, is ther a way to understand when the second method can be used? thanks.
Anytime you have an inverse trig function in the integrand you can try it, but it may not always be helpful and work out so beautifully like it did in this problem.
Hi Professor V, I used the first method.
Excellent!
Please make videos on Maclaurine series and Taylor series
I have several already!!!! Just search 🔍 that title on my videos or hop to “Calculus 2 Video Lectures” playlist.
Mthd 2 looks quicker and neater
Solved with the first method no problem; didn't even know the second method was allowed.
It’s definitely not your run-of-the-mill approach!