antidiff of circular functions?

[Yoda]

Need help with the following:
Find an antiderivative for 1/sqrt(5-2x^2)

[RKTR]

let u =(sqrt 2)(x)   du/dx =sqrt 2  du=sqrt 2 dx
 
1/sqrt 2  integral ( 1/sqrt(5-u^2) du
=1/sqrt2   sin^-1 (u/sqrt5)
=1/sqrt2 sin^-1 [ (sqrt 2)(x) / sqrt 5]

[juzza12]

I like to utilise a program called WOLFRAM ALPHA, when completing indefinite integral questions. I suggest you employ this program in your future studies of VCE Specialist Mathematics.
Cheers