precious001:
Lmao...don't curse us o abeg...

olatunji21:

Hmm. Yea.. Unilorin 2013 & 2014
The Polytechnic Ibadan 2013(Currently rounding up my ND level)

Dopeyomi:


Team MBBS.. Hoping to score 98/100

thankyouJesus:
[b]Ékárò nì bì yì o, Otutu o ma.
This is integration class, if you miss the differentiation class, quickly refer to previous pages.
INTEGRATION.
Integration is the reverse process of differentiation. When we differentiate we start with an expression and proceed to find its derivative. When we integrate, we start with the derivative and then find the expression from which it has been derived.
E.g d/dx (x⁴) = 4x³.
Therefore, the integral of 4x³ with respect to x we know to be x⁴. This is written:
[size=40]$[/size]4x³ dx = x⁴.
Generalizing:
[size=40]$[/size]xⁿ dx = [(xⁿ⁺¹)/(n+1)] + c.
This is true except when n = -1, for then we should be dividing by 0------(refer to note 5 below).
C is called the constant of integration and must be always be included.
. . . . . . . . . . . . . . . . . . . . . . . .
Example 1: evaluate [size=40]$[/size]4x³ dx.
Solution:
[size=40]$[/size]4x³ dx = [(4x³⁺¹)/(3+1)] + c
=[(4x⁴)/(4)] + c
= x⁴ + c.
. . . . . . . . . . . . . . . . . . . . . . . .
Example 2: determine y = [size=40]$[/size]4x³ dx, given that y = 3 when x = 2.
Solution:
As before;
y = x⁴ + c
but y = 3 when x = 2, so that;
3 = 2⁴ + c
3 = 16 + c
c = -13.
So, in this case;
y = x⁴ - 13.
. . . . . . . . . . . . . . . . . . . . . . . .
INTEGRATION OF POLYNOMIAL EXPRESSIONS.
In the previous class we differentiated a polynomial expression by dealing with the separate terms, one by one. It is not surprising, therefore, that we do much the same with the integration of polynomial expressions.
Polynomial expressions are integrated term by term with the individual constants of integration consolidated into one symbol c for the whole expression.
. . . . . . . . . . . . . . . . . . . . . . . .
Example : Evaluate [size=40]$[/size](4x³ + 3x² - 2x + 7) dx.
Solution:
[size=40]$[/size](4x³ + 3x² - 2x + 7) dx = [size=40]$[/size](4x³ + 3x² - 2x + 7(1)) dx
= [size=40]$[/size](4x³ + 3x² - 2x + 7x⁰) dx
= x⁴ + x³ - x² + 7x + c.
. . . . . . . . . . . . . . . . . . . . . . . . Summary:
1. Integration is the reverse process of differentiation. When we differentiate we start with an expression and proceed to find its derivative. When we integrate, we start with the derivative and then find the expression from which it has been derived.
2. [size=40]$[/size]xⁿ dx = [(xⁿ⁺¹)/(n+1)] + c.
This is true except when n = -1, for then we should be dividing by 0.
. . . . . . . . . . . . . . . . . . . . . . . .
Assignment:
Note the following;
1. d/dx (sinx) = cosx
[size=40]$[/size]sinx dx = -cosx + c
2. d/dx (cosx) = -sinx
[size=40]$[/size] cosx dx = sinx + c
3. d/dx (tanx) = sec²x
[size=40]$[/size]sec²x dx = tanx + c
4. d/dx (e^x) = e^x
[size=40]$[/size]e^x dx = e^x + c
5. d/dx (1n x) = 1/x
[size=40]$[/size]1/x dx = 1nx + c
. . . . . . . . . . . . . . . . . . . . . . . .

Any question?

. . . . . . . . . . . . . . . . . . . . . . . .
Have a blessed day.[/b]

Broh...
U sure say pple dey read all this ur tutorial cha...

Well... As for me ooo... It's just making me exhaust the little love I gat left for maths, especially differentiation and integration...

Teach us hundredth, tens and unit...

Pr0ton:


Guy.. You don abandon your job that fast?










You still remember me?

I'm coming in... 09030910740

Hope there is enough weed..

I'm sure cassyrooy, horpeyemmi66 and augster go don spoil that place.



































It's well.

ERCROSS:


Broh...
U sure say pple dey read all this ur tutorial cha...

Well... As for me ooo... It's just making me exhaust the little love I gat left for maths, especially differentiation and integration...

Teach us hundredth, tens and unit...

tundeks:
It's very possible and impossible. With hard work and prayer God will make it possible.

precious001:
I laugh in Spanish... buhahehahehaha

Dopeyomi:




Don't worry uHn watch out F̶̲̥̅̊O̲̣̣̥я̩̥̊ almighty Dopeyomi on MBBS Merit list... Wunt reveal my UTME score now.. Just watch out!!!

ogunsinamayowa:



why did i change to political science?

FrancisTony:

Insufficient O'level or Awaiting result?.

Insufficient... Kind of, I'll say maybe I didn't get enough info 'bout the O'level subjects. JAMB Brochure wrote one nonsense, and their site stated something different. And I aslo thought government 's an Art subject.

P.S Unilag aspirants learn from this. No 2 sittings too.

What course?
Actually, they stated that anyone applying for Engineering department must have further mathematics in his/her O'level.

Yea, Computer Engineering.

Why? How?

That day spelt doom for us, and many other folks with the same predicament.

Maybe...


I think people that know someone has an edge in getting nice course compared to others.

Perhaps.

olatunji21:

C this guy... Aw prep for Exam

horpeyemmi66:


I don burn again!...But Cassyrooy him still taking Conc. WEED!, I just know it.






Seeping Hounourable, Honourably.

olatunji21:

C this guy... Aw prep for Exam

GetOvaMe:

horpeyemmi66:
Thread becoming funnier...*Just watching from Sidelines.

A more interesting thing is that it seems like we have Celebrities in the house—Fairy tale characters like GingerBreadman(saw the fellow on this thread don't know where exactly). We are expecting Hanzel and Gretel, Razpunzel, Shrek, Buzz light year, Fiona, Peter pan, Tinkerbell, Snow White and of course Pocahontas.

And Cartoon characters, I very much want to see these ones: Sponge Bob Square pants, Cow and Chicken, Johnny Bravo, Dexter, Maxsteel, Pinky and the Brain....hahahaha, these days!

Dr.Host, I will rip your femur out of your Cotyloid Cavity(Acetabulum) one of these days...why U missing on 2go.

Dr.Cassyrooy no more speaking of Igbo for me( I called someone Nkita today, and it wasn't funny *Shudders).

Sir.PrOton( Geologist cum Psychologist),

Sister Dunsin89/98 whichever( I prefer Oluwadunsinfunminikan—monopolising Jah!).

Sir.Ogunsinamayowa( do you know Alalubosa in IB? ),

Pope Francistony(BCHM Don, U.I or UniLag?),

Sister. Dara319(I can Identify with your post—very factual).

Bro.thankyoujesus—I like your monicker, with you here we can always say a big thankyoujesus.

Sir.Whales2020, wishfully I wish the wish for a 68/70 too...its all wishy wishy.

Pes13 feeling your comparing and contrasting BIG TIME!

ERCROSS do you attend Mountain of Fire or Flaming Swords Ministries...

♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥

Love y'all, whether I spoke about you or not ain't a function of my love—God's love for you...gatta go; Ad hoc Wizard Meetings at our HQ in Cincinnati, Ohio, US and another at HQ liaison office at Bombay, India.

See you later...

cassyrooy:
probably, yes

horpeyemmi66:


I want Nursery rhymes:

Three blind mice, Three Blind mice,
See here they come,
they chase after the Farmer's wife,
who cut-off their tails with a carving knife,
Three blind Mice...


Oh, I miss Aunt Rhoda!

But Aunty Rhoda never told me why Three blind mice chased the Farmer's wife.

Dopeyomi:



i̶̲̥̅̊'m̶̲̥̅̊ sure of myself ni its very certain!

becborn:
evening greats minds nd fellow aspirants......happy bday to me......rep team MBBS ALL D WAY.

olatunji21:

Sociology-Unilorin

Public Admin-Ibadan

ogunsinamayowa:



yes i know the place. it is very close to GRA. #50 bike fee from my place.

Pr0ton:


Guy.. You don abandon your job that fast?










You still remember me?

I'm coming in... 09030910740

Hope there is enough weed..

I'm sure cassyrooy, horpeyemmi66 and augster go don spoil that place.



































It's well.

horpeyemmi66:


I don burn again!...But Cassyrooy him still taking Conc. WEED!, I just know it.






Seeping Hounourable, Honourably.

Pr0ton:


BURN again You go don bad gan niyen


cassyrooy is addicted to it. That guy no fit change. TB Joshua sef no go wan try to change ham.

ERCROSS:


broh... If u r sure of urself, u need not boasting...




Remember.. It is the empty barrel that makes the loudest noise

treasuregr8:
wow it's been a long time with y'all, what's the latest news? @ cassyroy, proton, cutebumzy etc.

you mean the latest news Well POST UTME form is out.. Candidates with 250 ąήđ above are invited F̶̲̥̅̊O̲̣̣̥я̩̥̊ the POST UTME screening.. Check via: www.ui.edu.ng/postutme





















































Abeq na jOke o!!!

cassyrooy:
Rest In the Perfect serenity of Unilorin, i wish luck and all the best.