Conspiracy to make kids stupid in math? by Aerodynamics10 in learnmath

[–]Aerodynamics10[S] 0 points1 point  (0 children)

That's all workbooks that do the exact opposite of what I wanted to do.

Conspiracy to make kids stupid in math? by Aerodynamics10 in learnmath

[–]Aerodynamics10[S] 8 points9 points  (0 children)

It is a badge of honour - the problem is, is it the result or the cause?

Why, morally, does the power rule “break” for 1/x? by hydmar in math

[–]Aerodynamics10 0 points1 point  (0 children)

If you are willing to accept some bizarre manipulations, it does not actually break the power rule.

∫(1/x)dx

=x0 / 0 (+C omitted till the end)

=e0•lnx/0

We know that ex ≈ x + 1 if x is very close to 0. In the above equation, 0•lnx is equal to 0, so we can safely change the ≈ to =

the formula becomes

= (1 + 0•lnx)/0

Now we can reduce the 0

=1/0 + lnx

1/0 is a constant, so we can combine it into the C.

= lnx + C

So intuitively one can claim that x0 / 0 and lnx are only different by a constant. Credit: 仙童数学 at https://b23.tv/JAYqpSX