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Homework Statement
Evaluate
integral dx/sqrt(1-2x^2)
Homework Equations
The Attempt at a Solution
My Answer: -cos^(-1)(sqrt(2)x)/sqrt(2) + c
See my work in attachment
Wolfram Alpha Answer: (sin^(-1)(sqrt(2) x))/sqrt(2)+constant
http://www.wolframalpha.com/input/?i=integral+dx%2Fsqrt%281-2x^2%29
MATLAB Answer:
Code:
>> syms x
>> int(1/sqrt(1-2*x^2))
ans =
(2^(1/2)*asin(2^(1/2)*x))/2
I know how I chose to evaluate this integral is not the traditional way of how things are done but I strongly believe that what I did is mathematically correct as you can see in my steps and so I should get the same answer but I don't, I don't know what I'm doing wrong and hope somebody can tell me...
Thanks in advance!
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