Integral by completing the square, and u sub, calculus 2

Integral by partial fraction & completing the square,
check out @bprpcalculusbasics for more calculus tutorials.

[emperorpingusmathchannel]

You are an excellent teacher. Please dont stop.

[javierlim]

I always find it beautiful how trig functions can appear seemingly out of nowhere

[Lu_Ca]

I think one of your best quality is to teach math with a smile.

PS: very gratefull for the D.I. method and this square trick

[nearly_nobody]

What happens at 3:40 helps solve a HUGE problem for me that's been bugging me for hours. Thank you so much!

[jarrodanderson]

Your timing is impeccable!! I'm being tested on this in 5 days, thank you Laoshi !!

[steadyrhythms]

dude that’s a great problem, big thank you. such a joy of a personality too, super enjoyable to watch. i hardly comment on tutorial videos, but this one was truly exceptional. I will remember to subscribe in the fall, but would like to forget that calculus happened for a few months after my exam, so I’m going to keep calculus related stuff out of my sight, haha. Great stuff though.

[Adam-lwes]

Tysm. I was lost on trying to integrate with an irreducible squared function on the bottom. I completed the square, squared the result, and followed your steps to completion.

You’re a real one 🙏

[ValorKingsly]

studying for my midterm and this was super helpful! thank you for sharing your knowledge with all of us :D

[pawelszewczenko]

You can also multiply the top with 2 and multiply the whole integral with 1/2, then substract 6 and add 6. Then you get 1/2(int((2x+2)/(x^2+2x+5) + 6int(1/(x^2+2x+5)))

[jacobshort]

This has been the most helpful video ever. I couldn't find this method online, and Webassign tells me to use partial fraction decomposition when I can't, in cases like this. Thank you so much!

[Liza-lkxh]

I don't usually comment on YouTube, but you are a lifesaver!!!!

[tebohomokoena]

Wow finally I got someone who did this U helped me a lot

[rogerdodger]

Piece of cake! I remember learning this in elementary school. Of course all of us kids did it so much faster, but we didn't have to explain it on the blackboard. Great review!

[diniertia]

You can exploring this learning for me. Thank you so much

[jadenowens]

actually the best math video ive ever seen

[ericwilliams]

The complete the square to U sub to trig sub pipeline is real 💀

[machoslothman]

I love your videos, MathPapa! Very helpful

[jadenowens]

way more helpful than what we learn in class

[trishd]

Thankyou!!! Love your energy while teaching.
This video has helped me immensely

[brstg]

Man ur such an amazing teacher I mean I couldn’t understand this no matter what and it took u 10 min to get it into my head . Love the way you write though 😂