Evaluate: `intx/(sqrt(4-x^4))dx`

Explanation

We have given
`intx/(sqrt(4-x^4))dx`

`intx/(sqrt(2^2-(x^2)^2))dx`

Now, let

`t=x^2`

`⇒dt=2xdx`

`int(1/2)(1/(sqrt(2^2-t^2))dt)`

As we know that, `int1/(sqrt(a^2-x^2))dx=sin^-1(x/a)+c`

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