I haven't watched this video, as it's beyond where I'm at lol. I'm currently studying GED math. But I just wanted to come to your latest video so I can tell you how amazing you are as a teacher / tutor. I have scoured the internet (including RU-vid) and have watched many videos. Yours are BY FAR, the most informative and educating that I have found. Your explanations are concise but sensible, and easy for new students to understand. The way you teach math is always the most efficient way to find the answer, while other teachers will make things overly convoluted for newer students. And you provide what I think is the most important thing, that is plenty of examples and practice problems. Thank you so much for providing free access to your content. Truly appreciate you.
Hey just want to say thanks for all the work you put into this channel I passed my ged math test today and your channel really helped me to understand the most complex problems. You’re really good at explaining complicated problems. Thanks
Hey bro, I’m really proud of your accomplishment. You’re doing a great thing by putting your future self in a position to succeed. As a college student, I know a ton of different people in a different majors use this guys videos. Dream big and Be the change you want to see in the world. With Hard Work comes Sacrifice, and with Sacrifice comes Success.
@@darwin-h6d Thats great to hear bro, You got this. Just do the best you can, and keeping getting 1% Better everyday👑 Good Luck, & Always keep Fighting brother.
This is a must-watch for students looking to conquer calculus challenges. The video's straightforward approach and practical examples demystify the process, making it easier for anyone to understand and apply definite integrals in finding the area under a curve.
Thank you Organic Chemist. You've been my saviour when I was reviewing for LET. And now, I passed. You really created a great impact on me. Thank you for making Math questions easy to understand.🙏😭
oh my god sir i don't know what i'm gonna do as an engineering student if you didn't exist in my life. you've helped me a lot through my calculus journey tommorow's my calculus 2 exam i feel confident and hopefully ill pass this semester.
@@Mathmaniac-vw9ipI passed Calculus 1 and 2 up to Differential Equations. I'm very proud of myself for surviving until now. Sir organic has been a significant part of my college journey. I'm turning 3rd year next semester and I'll continue to do my best to survive and achieve that engineer title.🙌🙌
Professor Organic Chemistry Tutor, thank you for an exceptional video/lecture on Finding the Area Under a Curve using Definite Integrals in Calculus Two. From the video, the best way to find the Area under a Curve is to graph the function(s) and then calculate the required Area. Thanks to the viewers for finding and correcting the errors in this video.
Mannnnn in our book they are crazily crazy u teaches me how to solve this that can take me 5 minutes at least to the possibility to solve it in less than a minute and all that I learned in just 5 minutes huge big Ty truly
I was devastated thinking I couldn't do math, then I watched your videos and I solved the problems super fast during the calculus class. Thank you very much. You are a god fr.😍
thank you for carrying my math youre THE GOAT when i get out to work ill donate my first paycheck ($15) to you. I AM INDEBTED TO YOU JUST KNOW EACH TIME YOU GO TO SLEEP SOMEONE OWES THEIR ENTIRE GPA TO YOU
Bro thank you even though I’m not in middle school or high school I’m interested in calculus and I’ve been bouncing from videos until I watched this one. Peace ✌️
thank you for saving my gpa you’re my favourite organic man I OWE IT ALL TO YOU, WHEN I GET MY FIRST REPORT BOOK PLS COME FOR A MEET AND GREET AND SIGN IT
As for this will be our in coming topic in Bascal (Basic Calculus), i'd like to mark this video to showcase my appreciation to the subject and for my teacher. "SIR, GIGS, I'M HERE ADVANCE STUDYING!!"
Quick twist - In equation -x^2 + 6x -8 how do we find the value of y that would yield area under the curve equals to 4. Currently area is calculated with lower Y bound equal to 0.
my calculus professor said that if the if the shaded area is under the x-axis, it contributes negatively to the integral so then for 11:26 the area would be 0 but you are saying this isn't the case? why?
You are correct. He accidentally did the proof for functions that are even (he even said BEFORE he started doing the work that the answer was 0). In reality, if a function is odd like y = f(x), and you want to find the area between points -4 and 4, it will always be 0 since there is an equal amount of "negative area" contributed with "positive area". HOWEVER, if the function is an even function, like y = x^2, and you want to find the area between -4 and 4 (equally opposite bounds), you can just find ONE side and multiply by 2. I think the Organic Chemist did the wrong proof on accident, but yes you are right, the problem at 11:26 is indeed equal to 0, not 16.
Hey could we please look at something like 5-3e ^-2t between 2 and 4 please i understand this = 1/a e (^at) +c but im a little stumped on how to work this out completely? thank you.
I am not understanding how the (8/3) became positive since (-2)^3 is negative then the outside has two negatives to distribute because (0-f(2)) also has an negative outside of it because A2-A1
