Calculus 1 Lecture 4.2: Integration by Substitution

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Calculus 1 Lecture 4.2: Integration by Substitution
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Missed a Calc class and my professor recommended we all watch this video. Insanely informative and my professor wasn't lying when he said "If you see a jacked dude with glasses, you're on the right video." Thank you for these videos.

UrbanCommando
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Using Integration by Substitution Methodology w/examples 8:00
Two Substitutions in One 1:08:30
Difficulty finding u: Trial and Error (1:19:42) - Algebraic manipulation to get a dx = du/? which cancels out the remaining x terms in the function .. because we only want terms involving u.
Substitution involving a trig function 1:25:00 recognise that this will not work the way it is currently written. Take advantage of known trig identities within each component of the major function. The focus is still getting rid of all the x terms.

darthboganis
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I should be paying my tuition fees to Professor Leonard, his style of teaching is vastly superior to the robot that teaches me. All my teacher does is equation after equation after equation, never explaining the concept of it. This channel is a serious help to me.

duzzklt
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I don't just know why online teachers are teaching more better than the ones that are being payed to teach in colleges. I always understand online lectures more than the classroom.

TamImBlessed
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5 years and 10 years from now when students like me are gonna discover these lectures, they'll cry out tears of happiness literally when they could understand what calculus is about. I assume these videos are gonna hit millions and millions of views in the upcoming years =)

nickyraja
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The best Math teacher in the WORLD!!! Thank you for existing Professor Leonard. I could not have gone this far without your videos.

Maya-xsxn
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Your videos saved me. I had no hope in calculus until I found your channel. Thanks for making the difficult things less difficult. AMAZING. Keep it up. Your students are SO lucky to have you! GOD BLESS!

anastasiaalexandersdottir
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literally cramming all his videos for finals.

nobodyify
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I know I'm most likely the 200, 000th person to really bring this up Professor Leonard, but thank you. I failed algebra 2 in high school three times, so math has never been my strong point. I have been struggling along my Calc 2 Class so far until I stumbled across the videos you have posted on the subject matters I have had issues on. I, and my fellow peers who have viewed your videos in the past, are viewing them now, and the ones who have yet stumbled across them on the internet are ALL thankful for your teaching style, and how you make the explanations so down to earth of such a complex math class. I truly believe that if math was taught like this from the basics of Pre algebra, all the way to D.E; across the nation there would never be such a thing as someone who doesn't understand math.

xboxhater
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The best thing about Professor Leonard's lectures is the fact that it feels like you're actually in his class and that you don't feel left out.

Noobatsecs
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Professor Leonard
Being a older person & having taught maths myself I find your teaching method very informative & easy to follow
Thanks for the High School that you work at for the uploads.

johnkiserliss
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Seriously, these lectures are saving my life. I am taking Calc II and it's been 7 years since Calc I, my currently professor is rushing through all the calc I review with little to now examples. Thank you SO much for posting these lectures. 

cararacs
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My uni lecturer: Today we're doing integration by substitution
5min later: Here's the fundamental theorem of calculus. And one more equation origin story you need to know...
Test: Just integ by substitution

edwinhenrich
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I wish I had found these videos sooner than 5 days before my final. Looks like I'll be using them when I take Calc 1 again next semester.

thomaswarren
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jacksonr
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I'm currently taking calc II. On the first day of class, we went straight into integrations. I took calc I a year ago so I was completely lost; seriously forgot everything I learned. I considered dropping the class. I'm currently reviewing with your videos and OH MY GOD the hope to succeed in Calc II has been restored.
Seriously, thank you for sharing these videos. You're helping future STEM students around the world :)

ohbebe
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You teach so much better than the professors I have. I can always rely on these videos to inform me when I'm lost.

jarellcomstock
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Professor L, you've helped me immensely by providing a second lecture to run parallel to my class to see what I miss. Thank you so very much for all the effort. You've helped me come from a low C at the start to scoring the top A on test 3. You're the man. You embody what it means to teach.

A grateful student

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paull
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These kids are so lucky to have such a charismatic and well-spoken professor to teach them calc.

I am watching these videos because I am taking calc 2 online and my teacher gives us the textbook and just says "go nuts" like we can teach ourselves out of a textbook

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