Get Clarity on Calculus: 1n Meaning and Examples

  • Thread starter Thread starter sponsoredwalk
  • Start date Start date
  • Tags Tags
    Calculus
sponsoredwalk
Messages
531
Reaction score
5
Hello, I'd just like a bit of clarity with my calculus study as I'm learning this not-so-harsh

subject on my lonesome and would do good to iron out the mental creases I've accumulated.

\alpha \lambda \varphi \alpha : \int x^-^1 = 1n |x| + C

What does the 1n mean or stand for, like does the n represent an interger and if

so, could you provide an example of when this would be used?


More To Follow Shortly !
 
Physics news on Phys.org
It's the natural log function. ln(x)

It's an 'l' not a '1' :wink:

and the formula is an integral. It would be used when
integrating :smile:
 
Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
Back
Top