∫dx/[x√(1-x^4)]

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∫dx/[x√(1-x^4)]

∫dx/[x√(1-x^4)]
∫dx/[x√(1-x^4)]

∫dx/[x√(1-x^4)]
∫dx/[x√(1-x^4)]
let
x^2 = siny
2xdx = cosy dy
∫dx/[x√(1-x^4)]
=(1/2)∫ (1/siny)dy
=(1/2)ln|cscy- coty| + C
= (1/2)ln| 1/x^2 - √(1-x^4) / x^2 | + C