This is a lifesaver for me. This is actually one of the topics that I couldn't grasp a few weeks ago and this week is already our finals. I am a SHS student in the Philippines and I am frequently using your content to learn in advance or study the topics for our quizzes so I am grateful to you Sir! I hope I can help directly by giving donations but I make sure I share your videos to my classmates. Thank you!
DUDE! You seriously have a gift of teaching! I was thinking of dropping out of Calculus because I didn't understand anything, and with this video, and reviewing the video you recommended, you got me up to speed in less than a day!!! YOU ARE A LIFE SAVER!!!! Thank you so much for what you do!!! Keep up the great work!!!
5:44 or we can also say sin^2x/cos2^x which will be[ tanx] and cos^2x/cos^2x will be 1 and we will get : The integer tan^2x+1 which will be the integer of sec^2x which is tanx+c
@@NoActuallyGo-KCUF-Yourself my then 13 year old brain was too stupid to handle that but now I’m a cool 14 year old so I think I should be able to handle it. (Plus I don’t have much time left on this earth since im an old man)
@@littleretroship6403 damn bro you learning integration at 14? bruh i wish i hadnt wasted my time doing BS. ill use this as an insipiration and work more
sir will product and quotient rule be applied to definite integral..,?? Well as u mentioned that for indefinite integral there's no product and quotient rule as compare to that of derivative has... Hope u gotta point sir🙂
no, integration has no such rules, which is why it's more difficult, check out my other tutorials on u substitution, integration by parts, trig substitution, these are the techniques we use when integrating.
Ignore the other guy. This is actually a very good question, and it has something to do with what you're really doing when you integrate a function. As you probably already know, integration is all about finding the area of a function. One way to think of it is that whenever an antiderivative goes up, then the area underneath its corresponding derivative also goes up and vice versa. Of course, I'm no experts, so you'd have to verify it yourself.
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This is a lifesaver for me. This is actually one of the topics that I couldn't grasp a few weeks ago and this week is already our finals. I am a SHS student in the Philippines and I am frequently using your content to learn in advance or study the topics for our quizzes so I am grateful to you Sir! I hope I can help directly by giving donations but I make sure I share your videos to my classmates. Thank you!
Awesome! Any donations to my Patreon page are most appreciated! But failing that just tell your friends to subscribe :)
I'm in Southern New Hampshire university and I cannot believe how much this video helped me! I couldn't understand my professor at all without this.
what are u doing now?
DUDE! You seriously have a gift of teaching! I was thinking of dropping out of Calculus because I didn't understand anything, and with this video, and reviewing the video you recommended, you got me up to speed in less than a day!!! YOU ARE A LIFE SAVER!!!!
Thank you so much for what you do!!! Keep up the great work!!!
Absolute legend man i watched multiple videos and you were one of the few who could explain it cause i was lost
I love your modern content, but those tutorials will stay relevant and great for ages.
Thank you very much sir...(from sri lanka..)
3month lecture in 10min.. 🙏👍👍
ape rate ayath awilla wage
Thank you sir for your dedication and for making this free! 🙏
Wow! This is really good sir. From Kenya( Africa)
I missed the class where we talked about this stuff, and I have been singing the intro song all day in anticipation for doing my homework on this
5:44 or we can also say sin^2x/cos2^x which will be[ tanx] and cos^2x/cos^2x will be 1 and we will get :
The integer tan^2x+1 which will be the integer of sec^2x which is tanx+c
Thank you so much sir.
pure legend
Chemistry physics and now calculus??? Mah mannn!
he knows about a lot of stuff
I watched it twice and I took notes.
Thanks for the explanation 🌹
Thank you so so much 💗💗💗
Holy cow this is hard. I can’t imagine how integration is gonna be later on
Don't worry, it gets worse.
@@NoActuallyGo-KCUF-Yourself my then 13 year old brain was too stupid to handle that but now I’m a cool 14 year old so I think I should be able to handle it. (Plus I don’t have much time left on this earth since im an old man)
@@littleretroship6403 damn bro you learning integration at 14? bruh i wish i hadnt wasted my time doing BS. ill use this as an insipiration and work more
Thanks a lot, I really understood 🙏
thank you
It's easy to understand 👌
THANK YOU KING
Simply, Awsm
Need more videos 😭🥺🙏
Probably ı will pass the class with you
tysm!!!!
perfect!
Just subscribed 😊
Done.
Done comprehension.
you teach great and i understand.but you dont teach all the trigonometry identities making me hard to relate in in your question
Sir would the rule of questient and multiple hold in definite integral??? Plizz...
Sorry I’m not sure what you mean.
sir will product and quotient rule be applied to definite integral..,?? Well as u mentioned that for indefinite integral there's no product and quotient rule as compare to that of derivative has... Hope u gotta point sir🙂
no, integration has no such rules, which is why it's more difficult, check out my other tutorials on u substitution, integration by parts, trig substitution, these are the techniques we use when integrating.
@@ProfessorDaveExplainssir may i hv ur contact no,...so that i could ask u problem regarding calculus sometimes🙂plizz sir
@@topiado2073 wtf
can we prove this using the U-substitution?
Not a proof, but you could probably use that as an alternate method to evaluate.
What to do when evaluating trig functions with respect to y? Evaluate the integral of tanxdy from 0 to 7? What about sinxdy from 0 to 7?
those are definite integrals. There is a separate video on that
If the variable of integration is y, any functions of x are treated as constants.
The answer is 7sinx and 7tanx. sinx and tanx are constants because given variable is y.
"Sine! Cosine! Tangent! Integral! Permutation!" - Ringo Ando
thankyouuuu
Hello sir! How r u???!!
Sir, could you give me the reason of this? Why do these trigonometric functions behave like this when integrated?
He already explained them in this video,
th-cam.com/video/_Zqcxbjzyxg/w-d-xo.html
What do you mean by "why"? The reason is that is what happens when you perform the operations.
Ignore the other guy. This is actually a very good question, and it has something to do with what you're really doing when you integrate a function. As you probably already know, integration is all about finding the area of a function. One way to think of it is that whenever an antiderivative goes up, then the area underneath its corresponding derivative also goes up and vice versa.
Of course, I'm no experts, so you'd have to verify it yourself.
You think it helps to uderstand whats happening graphically? M @kzkaa.
You didn’t do tan
Can you do some problems using u substitution with trig integrals?
Happy to inform You that a new video has been uploaded
th-cam.com/video/HHuiSetD-6w/w-d-xo.html Please have a look
how to integrate sin2x/(1+cons^2)
Nice
I Like it 😍
Math is CRACK to me !,, thank you!,,,!,
thank you jesus!
You shed what you write we can't see
Dont say we...say i cant see.....
;)wink wink