Love your Calculus only channel. Thank you for your endless effort on making Maths accesible to everyone. Wish a lot of videos were available back in my day as students, hahaha.
I've been watching you for about a year now and you're such an inspiration. I love math and you introduce many interesting concepts in an engaging way.
Heading into calculus 3 with differential functions and needed a review on integration and trig functions. Wonderful video, well explained and really helped me remember and review the content of calculus 1 I took in highschool. Thank you so much, this deserves much more recognition!
I love it when textbooks have questions that hint towards an idea that hasnt actually been taught yet, like in your d/dx(xarctanx-1/2ln(1+x²)) question.
The first month or so I was studying about 3 hours a day just for calc 2. I would recommend about that much because calc 2 is the most dense with material
By the way, there are other ways to integrate 1/√(e^x-1) on question 8. You can also multiply by e^(x/2)/e^(x/2) and substitute u=e^(x/2), giving an arcsec form antiderivative, or you can multiply by e^(-x/2)/e^(-x/2), giving an arcsin form antiderivative. Combined with bprp's solution, this gives you 3 valid antiderivatives, all differing at most by a constant and all using a different inverse trig function. This means that 2arctan(√(e^x-1)) + C = 2arcsec(e^(x/2)) + C = -2arcsin(e^(-x/2)) + C. You can show that 2arctan(√(e^x-1)) = 2arcsec(e^(x/2)) = π - 2arcsin(e^(-x/2)) by using trigonometry.
Found this link on instagram.... I am so happy :') Thank you so much. In my country... calculus starts in two years for me.... But I love it so much and couldn't find any proper tutorials on UA-cam..... I watch your main channel also Thank you for this
I took Calc1 30 years ago. I can still do most of this in my head, but this recap was awesome. (My weak spot is just the memorized ones, like derivative of sin(x). My strong suit is procedure and the underlying algebra.)
Love your Calculus only channel. Thank you for your endless effort on making Maths accesible to everyone. Wish a lot of videos were available back in my day as students, hahaha.
Didn't know you were a collage teacher before, your students must be happy to be taught by you
thanks
instructors like you deserve a nobel peace prize. Its a new era of information sharing that you are providing for free. Thank you
Your enthusiasm is contagious. I started understanding and enjoying Calculus with your videos. Thank you for your contribution to our society!
Same!
I haven’t done calculus for 15 years. This is just what I needed!
I've been watching you for about a year now and you're such an inspiration. I love math and you introduce many interesting concepts in an engaging way.
Honest to god, you deserve a Nobel prize for your contribution to the millions you continue to help around the world
Heading into calculus 3 with differential functions and needed a review on integration and trig functions. Wonderful video, well explained and really helped me remember and review the content of calculus 1 I took in highschool. Thank you so much, this deserves much more recognition!
I love it when textbooks have questions that hint towards an idea that hasnt actually been taught yet, like in your d/dx(xarctanx-1/2ln(1+x²)) question.
I'm jumping into calc 2 after 6 years since I took calc 1 so this review is very helpful! Thanks!
in the same position rn hahah
Goodluck! I was surprised how far some studying could go. Now I'm in ODE and teaching myself abrstract alg
@@harrisonwilliams7766 that’s awesome man, how often did you study for cal 2?
The first month or so I was studying about 3 hours a day just for calc 2. I would recommend about that much because calc 2 is the most dense with material
Thank you for this video! Going into Calc 2 this Fall
I was in my way to search about calculus when your channel was in my face,its the best coincidence in my whole life💙
By the way, there are other ways to integrate 1/√(e^x-1) on question 8. You can also multiply by e^(x/2)/e^(x/2) and substitute u=e^(x/2), giving an arcsec form antiderivative, or you can multiply by e^(-x/2)/e^(-x/2), giving an arcsin form antiderivative. Combined with bprp's solution, this gives you 3 valid antiderivatives, all differing at most by a constant and all using a different inverse trig function. This means that 2arctan(√(e^x-1)) + C = 2arcsec(e^(x/2)) + C = -2arcsin(e^(-x/2)) + C. You can show that 2arctan(√(e^x-1)) = 2arcsec(e^(x/2)) = π - 2arcsin(e^(-x/2)) by using trigonometry.
Really needed this review after starting my Ordinary Differential Equations course. Thank you!
Found this link on instagram.... I am so happy :')
Thank you so much. In my country... calculus starts in two years for me.... But I love it so much and couldn't find any proper tutorials on UA-cam..... I watch your main channel also
Thank you for this
It's always pleasant listening to your lectures.
I'm proud to be 225th subscriber of a "going to be million" subs family
I am number 2⁸.
@@xinpingdonohoe3978 I am number 2^log2(275)
Seeing ur amazing vids from Ecuador bro, hope ur content help me for my mechanical engineer carrer :)
Needed this! Great review questions! Thanks
Ty so much, I need the practice. I let my math skills degrade so badly. It'll take a lot of work to build them back up but it is going to be fun!
Thank you for making math enjoyable and not intimidating
Thank you so much for making this video, now I can share it with my friends and be cool😎
I don't think I've ever forgotten +C on a homework assignment or test in Calculus 2 and I plan not to!
Thank you so much! Please do a Calculus 2 Review as well!
I have that already: ua-cam.com/video/Kwyk_mteyNc/v-deo.html
Love how question 2 is a subtle antiderivative problem
I love this video... May the people have a video on DIFFERENTIAL EQUATIONS?
INTEGRAL BATTLES!!! GO!!!
I took Calc1 30 years ago. I can still do most of this in my head, but this recap was awesome. (My weak spot is just the memorized ones, like derivative of sin(x). My strong suit is procedure and the underlying algebra.)
WOW du bist aber der beste hier auf UA-cam liebe grüße aus Berlin
Always good to grind these, keeps you sharp.
it's been like a year since I took calculus 1, and I feel like I've forgotten everything going into calc 2. I am terrified
This is GOLD.
On question 4, is it better to leave it in that form or to factor further, i.e. factor out the -2x from the numerator and divide?
How many channeles you have ? 😅
Love from Bangladesh 🇧🇩❤️
The "don't forget your plus c" in 1st integration question just made me think wht your scary side might be.
58:32 haha, love this breaks
thanks, very good
Thanks
Thanks sir
Finally finished.
I’m taking this next year 🤣
i was the 6^3 like
Dang.. i miss my calc 2 integral class. (1.25 btw)
What’s 1.25?
Hi
Q2
?
why not you put your mike as black and red color ? Haaaaa.....
more exercises please