When the Teacher Forgets +C After Integrating #shorts

Our math and physics teachers always remind us to add the constant of integration (+c) whenever we finish an indefinite integral... but sometimes they forget to include it themselves! #shorts

So what do we do in the scenario where our teacher forgets to include this constant? Why we remind them of course! We let them know very firmly and clearly that the integral is indefinite, meaning we have not specified the limits, so we obviously need to add the constant of integration after completing our problem.

Why is the constant even needed at all? Well it's because integration, or at least indefinite integration, does not provide unique solutions. The easiest way to understand this, in my opinion, is to think of the reverse scenario - let's imagine we want to differentiate a function like x^2. We know the derivative of this is 2x. But similarly, the derivative of x^2 + (any constant) is also 2x. Therefore when we integrate 2x our result could be x^2 + any constant. The "solution" we've found is technically representing a family of solutions! And the only way to find the value of our constant c is to define the limits of the integral - this is enough to uniquely identify a solution.

This is one of the first things we learn when studying calculus, and it should be (rightly) drilled into us as early as possible. However teachers are human too, and sometimes they forget to add the constant of integration. In that situation, students should always make sure to remind them :)

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[houseflyer]

Teacher: forgets +c
Student: the power of the sun, in the palm of my hand.

[Metalhammer]

As a math teacher, I can confirm, that's my student's reaction^^ (As a student back in the day as well^^)

[ronaldboulder]

Absolutely true. Unfortunately my math teacher never forgot the +c.

[wn]

My Calc teacher had a rule where whoever caught her forgetting a +C got an extra point on the test.

[agarbajiya]

Teacher : aaj se definite integration ka topic chalu

[Karthik-utvo]

Ha ha ha... Great shorts.. 😂😂😂
That cunning smile on the student's face... 😅😅😅

[debabratakundu]

I can remember those days when my high school math teacher deducted the whole marks just because I forgot to put constant there😢

[abhayrawat]

I was just completed my lecture for integration and this came up in recommendation . Nice algorithm

[MidnightStorm]

Doing A level Maths and whenever I integrate I will always think of this short so I remember to include the +c

[MohamedYasser-kmrm]

So true but sadly my teacher has like 30 years of experience so he never forgets it

[mvtech]

"I was just testing if anyone was playing attention" instant comeback

[wildmanz]

Had me glued to the screen, not lyin!

[Demi]

One of the BEST Youtube Shorts Out there! No doubt

[jaineee]

Irony is when they forget & we remind them they're like "haa thik h na" but during exams when we forget -1/2😏
Fact: this is getting recommended to every 12th maths student now!😅

[ItsDeveshA]

was really Relatable-donno why, but I just ENJOYED SEEING MY REFLECTION!

[Pavan_Gaonkar_abc]

Hay make much more videos like this love it!!!

[GoldenFinger]

I could feel the energy surging again through my vein same as it did in my math class.

[krishnavabhattacharya]

Always remember, "Don't forget to c"

[vithuaroskar]

I did this many times to physics and chemistry teachers while integraring

[md.ayaanahmed]

Please make a video on the center of mass. Your videos help me (a highschool student) understand this physical universe intuitively.