Get Clarity on Calculus: 1n Meaning and Examples

  • Thread starter Thread starter sponsoredwalk
  • Start date Start date
  • Tags Tags
    Calculus
Click For Summary
SUMMARY

The discussion clarifies that "1n" is a common typographical error for the natural logarithm function, denoted as "ln". The integral presented, ∫ x^-1 dx, evaluates to ln|x| + C, where C represents the constant of integration. This integral is fundamental in calculus, particularly in contexts involving growth rates and exponential functions.

PREREQUISITES
  • Understanding of basic calculus concepts, particularly integration.
  • Familiarity with logarithmic functions, specifically natural logarithms.
  • Knowledge of mathematical notation and symbols used in calculus.
  • Ability to interpret integral expressions and their results.
NEXT STEPS
  • Study the properties and applications of natural logarithms in calculus.
  • Learn about integration techniques, focusing on integrating rational functions.
  • Explore the relationship between exponential functions and their inverses, the logarithms.
  • Practice solving integrals involving logarithmic functions using various examples.
USEFUL FOR

Students learning calculus, educators teaching mathematical concepts, and anyone seeking to clarify the use of logarithmic functions in integration.

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:
 

Similar threads

Stationary points classification using definiteness of the Lagrangian
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad What would a calculus author have to say on ##\int r^2dm##?
  • · Replies 11 ·
Replies
11
Views
3K
Graduate Summing over continuum and uncountable numerocities
  • · Replies 1 ·
Replies
1
Views
3K
High School Nature of Limits: Learn Calculus Basics w/o Limits Distraction
  • · Replies 13 ·
Replies
13
Views
3K
What does 'dx' mean and how does it relate to calculus and physics?
  • · Replies 4 ·
Replies
4
Views
3K
High School Basic Idea of Differential Equations
  • · Replies 25 ·
Replies
25
Views
3K
Understanding Transformer Phasor Diagrams
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Find Relative Extrema of f|s: Explained with Lagrange Multipliers
  • · Replies 7 ·
Replies
7
Views
2K
Book plots position & force on the same graph, still gets right answer
  • · Replies 8 ·
Replies
8
Views
1K
Exploring Mental Blocks in Mathematics: A Personal Perspective
  • · Replies 5 ·
Replies
5
Views
3K