/sci/ - Science & Math

derivative of logx is 1/x
integral of 1/x is logx
simple as that, because the integral is like the 'inverse' of a derivative (i don't know the technical word for it)

bump!

>>5247341
Because, the <span class="math">\int \frac{1}{x} dx = ln(x)[/spoiler]

Actually the definition is <span class="math"> ln(x) = \int_1^x (1/t) dt[/spoiler]. There is nothing more to it.

Did you noticed that they switched the terms around?
Is that why you are confused?

>set up wolfram to give step by step instructions for highschoolers and freshman for free
>All of them are dependent on your homework doing machine
>start charging them monthly

fucking genius

>>5247348
is it ln or log?

now how about this, it all turned to tan sec?

>>5247374
forgot the pic

>>5247366
It's ln(x),
But Wolfram|Alpha specifically says:
"log(x) is the natural log" in the corner of the solution

http://www.wolframalpha.com/input/?i=ln%286%29

Learn to look.

>>5247374
>>5247375

Trig substitution.
Look this shit up bro, this isn't Google.

>>5247384
>>5247382
>>5247348
>>5247344
>>5247350

sorry guys for so much question. I go to a shity school and I almost always have to learn shit on my own.

Why did it turned the x^2 to tan. I cant find the tan thing in the net/

>>5247402
you can also use
<span class="math"> (f^{-1})'(x)=1/f'(f^{-1}(x)) [/spoiler]
with f(x)=e^x

>>5247359
wolfram alpha takes money now? what a fags

>>5247451
bump for that question