Integration Constants

So in this video we're going to talk about the reverse of partial derivative, partial integration, and what is the integration constant. So let's say that f of x is x square. The integral of f of x dx, I'm going to get myself x cube by 3 plus a constant, integration constant of C. So the question is, if this is x, y, z, is x square, so if I take the integral of this, and technically you need to put partial here, not derivative sign, still x cube by 3 plus g of another function y and z. You see, I write these two two parameters except integral of. Let me show you why it is that case. Let's say this is y square plus z square plus C. Right? If I take the partial of that with respect to x, I get myself, you can see this is not a function of x, this is not a function of x, this is not a function of x, 3 x square divided by 3. So you can see this is the same as this. So this g(y, z) doesn't have to be just the integration constant of C.