It's unfortunate that I didn't discover you until the last unit of my Calc class, but I think you've single-handedly saved me and my Final Exam grade! p.s. Your handwriting is too good
Jared Burgon this makes me so happy!!! So glad that these videos helped you prep for your exam. Sending so much luck your way if you haven’t taken it yet!!
Thank you so much for making this video. I know I am 8 years late to this, but I just want you to know 8 years ago you have saved countless student's grades through this video
I’m SO happy to be able to support your leaning this year. Thank you so much for the kind note. Hope you continue to have a lot of success in your course!
My university is currently on strike and I needed to learn integrals by myself before it was over! Thank you for your great lessons and helping me understand!
To take the antiderivative of x^n dx, we do 1/(n+1) * x^(n+1)... To oversimplify that, we add one to the exponent and divide by what we added. So, antideriv x^3 dx = 1/4 * x^4 + C. In our case, antideriv u^(1/2) du --> add one to the exponent: 1/2 + 1 = 3/2... and then dividing by 3/2 is the same as multiplying by 2/3... Therefore, we have antider u^(1/2) du = 2/3 u^(3/2) + C. Hope that helps!
@@jasonaxe2082 1. we identify u = 1 - 4x^2; 2. we need to find du. just think of taking the derivative of each side of that equation -> du = -8x dx Does that help?
It's unfortunate that I didn't discover you until the last unit of my Calc class, but I think you've single-handedly saved me and my Final Exam grade!
p.s. Your handwriting is too good
Jared Burgon this makes me so happy!!! So glad that these videos helped you prep for your exam. Sending so much luck your way if you haven’t taken it yet!!
Thank you so much for making this video.
I know I am 8 years late to this, but I just want you to know 8 years ago you have saved countless student's grades through this video
You’re so kind to leave this message! Math should make sense, and I hope to make it feel that way for at least some others.
I've been working my way through chapter 5 since 1am for my unit test (4:45 now) thanks so much!
Wishing you luck on your test!!
THANK YOU! I wouldn't have survived Calc AB without you, especially during COVID. These lectures are so good! Too good!
I’m SO happy to be able to support your leaning this year. Thank you so much for the kind note. Hope you continue to have a lot of success in your course!
Thank you!!! You are saving me so much time. I really appreciate your hard work in making these videos. It is very easy to follow and understand.
I'm so happy to hear that!! Good luck in all your studying.
Thanks for your lectures. It's very easy to understand ;))))
I'm so happy that you've found my videos & that they're helping you out! Thanks for your kind note :)
My university is currently on strike and I needed to learn integrals by myself before it was over! Thank you for your great lessons and helping me understand!
I’m so so happy to hear this helped!! I hope your classes resume again soon. Good luck in your class!
Thanks for video keep going 🤠 greeting from Morocco
👋So glad you have found my videos! Wishing you good luck in your course :)
Thank you for your amazing videos, it's really helpful. The way you are happy at the last example because the answer is 0 thou 😄
thank you so much
boo hoo you’re very welcome!
No, thank you.
i don't know how u got 2/3 in the first example
To take the antiderivative of x^n dx, we do 1/(n+1) * x^(n+1)... To oversimplify that, we add one to the exponent and divide by what we added. So, antideriv x^3 dx = 1/4 * x^4 + C. In our case, antideriv u^(1/2) du --> add one to the exponent: 1/2 + 1 = 3/2... and then dividing by 3/2 is the same as multiplying by 2/3... Therefore, we have antider u^(1/2) du = 2/3 u^(3/2) + C. Hope that helps!
Where did the -8 come from for example 4?
Do you mean how did I get du = -8x dx?
@@StaceyRoshan yes
@@jasonaxe2082 1. we identify u = 1 - 4x^2;
2. we need to find du. just think of taking the derivative of each side of that equation -> du = -8x dx
Does that help?
i love youuuu
So glad you're finding these videos helpful!!! Hope they continue to help :)
peeb