(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Evaluate

integral dx/sqrt(1-2x^2)

2. Relevant equations

3. 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:

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...Code (Text):>> syms x

>> int(1/sqrt(1-2*x^2))

ans =

(2^(1/2)*asin(2^(1/2)*x))/2

Thanks in advance!

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# Calculus II - Trigonometric Substitutions - Evaluate integral dx/sqrt(1-2x^2)

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