Recent content by mishin050

##\displaystyle\frac{d}{dx}=\lim_{\Delta x\to 0}\frac{\Delta}{\Delta x}##

$$ \frac{d}{dx} \int_a^x f(t)~dt = f(x);$$ $$ dx \cdot\frac{d}{dx} \int_a^x f(t)~dt = f(x)\cdot dx;$$ $$\int d \int_a^x f(t)~dt =\int f(x)~dx;$$ $$ \int_a^x f(t)~dt =\int f(x)~dx;$$ $$\int f(x)~dx= F(x)-F(a)!$$

I think that on it the correct theory comes to an end. $$\text{This integral:}~~\int F'(x)dx=F(x)+C~~\text{begins the wrong theory.}$$ Nobody proved it and it doesn't make sense. $$\text{It would be correct to go on such way:}~~F(x)=\int \limits_{x_0}^x...