There's an easier way to think of u-sub... You can just solve and substitute for dx instead of trying to make it match du... When you have your du/dx expression, just get dx by itself and then substitute into the integral.
You saved me, Larson Calculus texts and online resources are unimpressive mockery of Khan Academy. How can something free be more informative than an $180 loose-leaf text book?
Because with he is integrating with respect to u. Remember, the u is a substitute for the original expression, so for the integral to be valid, we must integrate with respect to that variable. Just to toying around with u-substitution yourself to get a feel for it, because otherwise, u-subs won't make sense at all. U-subs are mathemagical so they can't be conurued unless you WILL it. (If you're a bard, you need Charisma. Remember to put points into concentration or else the u-sub will interrup.
Just for laughs, I tried to do that in my head in 10 seconds and skip to the end to check the answer. How in god's name did I get it right if I'm 2 days sleep deprived and almost failed calculus 2...
It feels weird. Am I really aloud to write the problem like that, My first thoughts were to go like this (7(x+9/7)^(1/2)) and then put it out like this ((du*u)^(1/2)) Can some one explain why I'm wrong ?
+sizetomtas In your first line, the 7 is not included in the ^1/2 power. 7 is the du, so in the second line, the du should not be included in the ^1/2 power.
There's an easier way to think of u-sub...
You can just solve and substitute for dx instead of trying to make it match du...
When you have your du/dx expression, just get dx by itself and then substitute into the integral.
Very helpful for me, him, her, and ESPECIALLY . . . U!
You saved me, Larson Calculus texts and online resources are unimpressive mockery of Khan Academy. How can something free be more informative than an $180 loose-leaf text book?
Dude thanks I have a math quiz next period.Pls pray for me
Neil Lopez did you pass?
May the Gods of Saul be with you
How was it?
Khan Academy saved my day.....Great explanation
no need to distribute 1/7 to c because in the end it will be = new C
ease the monotony? Sal's voice is to me the cure to the monotony of life itself (wherever applicable) xD
with khan i find it easier for me to start the topic and then do questions with the organic chemistry tutor..........
Because with he is integrating with respect to u. Remember, the u is a substitute for the original expression, so for the integral to be valid, we must integrate with respect to that variable. Just to toying around with u-substitution yourself to get a feel for it, because otherwise, u-subs won't make sense at all. U-subs are mathemagical so they can't be conurued unless you WILL it. (If you're a bard, you need Charisma. Remember to put points into concentration or else the u-sub will interrup.
I UNDERSTAND THE UNIVERSE!!!
THIS HELPED ME SOO MUCH!!!!!!!!!!!!!!!!!! Big fan of this!
i laughed harder than i should've when you said "hairy integral".
nice example, nice lesson. Thank you
The Bob Ross of math
So what are you up to these days??
@@goodstuff7375 what are YOU up to these days?
Thank you very much.
Good video!!! thanks
sal u droppin knowledge aginn
d always
haha u subs are definitely an art, luckily once u practice al the different types they are not bad unless u get some crazy question lol.
Why does du disappear when you take the antiderivative?
Integrate dx. It becomes 1. Anything multiplied by 1 remains same
good
How u determine the u and du/dx?
U subs are arcane black magic
what if you have a higher order polynomial inside of the square root?
Why did you stop including du? It was as if you forgot about it. Whats the point of having it?
Just for laughs, I tried to do that in my head in 10 seconds and skip to the end to check the answer. How in god's name did I get it right if I'm 2 days sleep deprived and almost failed calculus 2...
how does it become 1/7 times 7?
he needed a times 7, the only way to do that without changing the value is to also divide by 7.
because x/x = 1
and a x 1 = a
it goes away once you take the integral (anti derivative) of it
It feels weird. Am I really aloud to write the problem like that, My first thoughts were to go like this
(7(x+9/7)^(1/2))
and then put it out like this
((du*u)^(1/2))
Can some one explain why I'm wrong ?
that is exactly what i though. i don't understand where the 1/7 comes from
+sizetomtas In your first line, the 7 is not included in the ^1/2 power. 7 is the du, so in the second line, the du should not be included in the ^1/2 power.
Why the du which is 7*dx just be ignored at the end?
So does the du go always go away
Sound a lot like Kevin Smith!... smaths
I laugh so hard when sal says hairy integral
+Mihirskates me too lmao
those "dx" constantly remind me Nikon....
did he say "a hairy looking integral"? 0.o i would understand SCARY... but hairy?
why does the du just go away
And a lot of typos. Grammat nazis beware, retribution will be swift. Consider thyself warned!
first club
Yoooo, you still alive?
your wrong bro its 14/3
ur wrong bro it's 2/21
He cross multiplied, ha.