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

Explanation

Given `∫(xdx)/(sqrt(4−x^4))`

`I=∫(xdx)/(sqrt(2^2−(x^2)^2))`

Now, let

`t=x^2`

`⇒dt=2xdx`

`I=∫(1/2)(1/sqrt(2^2−t^2))dt)`


`I=(1/2)(sin^(−1)(t/2)+c)`

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