Your calculus 3 teacher did this to you

Your calculus 3 teacher did this to you

[edre-gk]

If Billy has 5 apples and he eats 3 apples how many apples will John have?

[jesusthroughmary]

Wouldn't x^2 just be brought outside the integral as it is a constant with respect to y?

[thearizonaranger]

x^2 is treated as a constant, so you get x^2 * integral(1dy). Final answer is (x^2) * (y) + c

[FakeExotic]

If john have 2 apples, and jason is gay, how heavy is pluto.

[Pomato_guy]

it actually depends if y = f(x) in any way, if yes, it's yx^2 - int y dx^2 + C or yx^2 - int 2xy dx + C. If not (y is a constant), then yx^2 + C
but this is kinda obvious since when y = A (some other constant than C), then int x^2 dy is zero. (We know that dS = 0 is S is a constant)

[liviu]

We all smile till we have to solve quintic integrals.

[reidpattis]

Calculus 3 teachers watching be like: 👀

[_cmoreno_]

everyone commenting on what they think the answer is and i’m here just like wtf did he write

[Tyler.the.contentcreator]

If John has 2 fish and catches 3 more fish, how many apples does John have?

[not_vinkami]

x²y + C(x) should be the best answer we can get

[tubeman]

sus meter is 1000% when you see something like this

[channelbuattv]

When "don't forget the +C" becomes "don't forget the +f(x)" :

[khangbwe]

is this the legendary multivariable calculus?

[Anmol_Sinha]

x is constant so the integral is x²(y+c) = x²y+x²c. But as x²c is made of constants, we can also call it a constant C (const.×const.=const.). So the answer is x²y+C

[somebody_]

For this one, just multiply x^2 by y, then add the constant. This integral would therefore be x^2 * y + C.

[alchemy-is-official]

Use brain
X^2 is constant so constant out and y integrates to get y

[johnjoseph]

Treat x^2 as a constant. And the answer is x^2*y+C

[Fab_DC]

I wish my calc 3 teacher did this in a test 😂😂

[KM-omhm]

y=x² [just assume]
dy/dx=2x
dy=2xdx

Integration of x²dy =integration of 2x³dx=x^4/2+c

[Deejaynerate]

Oh, that's easy. x^3 is just a constant in the y world, so you just multiply it by y and add the C. Thus, the answer is yx^3+C.