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

  • Thread starter Thread starter teng125
  • Start date Start date
AI Thread Summary
The discussion focuses on solving the integral of 1 over the square root of (a^2 - x^2). Participants suggest using inverse trigonometric functions, particularly arcsin, to approach the problem. One user clarifies that the correct form of the integral leads to arcsin(u/a) + C, rather than the initially considered 1/a^2. The conversation emphasizes the importance of proper substitution in integration. Overall, the integral can be effectively solved using the arcsin function.
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: \int\frac{du}{\sqrt{a^2-u^2}} = arcsin \frac{u}{a} + C
 

Thread 'Family of lines that are at a distance of 5 from the origin'

I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
View full post »

Similar threads

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

Hot Threads

Recent Insights

Back
Top