Integ 1 / sqr root(a^2 - x^2 )

  • Thread starter Thread starter teng125
  • Start date Start date
Click For Summary

Homework Help Overview

The discussion revolves around the integration of the function 1 / √(a² - x²), which falls under the subject area of calculus, specifically integral calculus. Participants are seeking assistance in understanding the integration process and related concepts.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the potential use of inverse trigonometric functions, particularly arcsin, in solving the integral. There is some confusion regarding the correct form of the numerator when applying this method.

Discussion Status

Some guidance has been offered regarding the integration approach, with references to inverse trigonometric identities. However, there remains a lack of consensus on the details of the integration process, as participants are clarifying their understanding of the components involved.

Contextual Notes

Participants are navigating through the specifics of the integration technique and its application, with some uncertainty about the algebraic manipulation required for the integral.

teng125
Messages
416
Reaction score
0
does anybody knows how to do integ 1 / sqr root(a^2 - x^2 )...
pls help...
 
Physics news on Phys.org
Think inverse trig.
 
ya i thought of using diff of arcsin ax = a / sqr root (1 - (ax)^2 )
but if i do so the numerator will be 1/a^2 rite??

pls help
 
Close, it would be 1/a, like this: [tex]\int\frac{du}{\sqrt{a^2-u^2}} = arcsin \frac{u}{a} + C[/tex]
 

Similar threads

To prove that a given quadratic has integral roots
  • · Replies 20 ·
Replies
20
Views
3K
Find an integer having the remainders ## 1, 2, 5, 5 ##
  • · Replies 7 ·
Replies
7
Views
3K
If ## a ## is an odd integer, then ## a^{2}\equiv 1\pmod {8} ##?
  • · Replies 2 ·
Replies
2
Views
3K
Proof That an Integer is Divisible by 2
  • · Replies 3 ·
Replies
3
Views
2K
Quadratic equation with no rational roots
  • · Replies 12 ·
Replies
12
Views
4K
MHB Solving Trig Identity: Sin[1/2 sin^−1 (x)] = 1/2 X (sqr(1+x) –sqr(1-x))
  • · Replies 2 ·
Replies
2
Views
2K
Prove: If the integer ## a ## is not divisible by ## 2 ## or ## 3 ##....
  • · Replies 9 ·
Replies
9
Views
3K
For any integer ## a ##, the units digit of ## a^{2} ## is?
  • · Replies 7 ·
Replies
7
Views
2K
Are these values of the following correct? (Complex cube root of unity)
  • · Replies 9 ·
Replies
9
Views
3K
For n>3, show that the integers n, n+2, n+4 cannot all be prime
  • · Replies 27 ·
Replies
27
Views
4K