1.

int(x^(4) - 1)/(x^(2)(x^(4) + x^(2)+1)^(1//2)) dx iseqal to

Answer»

`sqrt((X^(4) + x^(2) + 1)/(x))+c`
`(x^(2))/( sqrt(x^(4) + x^(2) + 1))+c`
`x(x^(4) + x^(2) + 1)^(3//2) + c `
`(sqrt(x^(4) +x^(2) + 1))/( x )+c`

SOLUTION :`int( x^(4) - 1)/( x^(2) (x^(4)+ x^(2) + 1)^(1//2)) dx= int( 2x^(4)+x^(2)- ( x^(4)+x^(2) +1))/( x^(2) sqrt(x^(4) + x^(2) + 1))dx = int ((x(4x^(3) + 2x))/(2 sqrt( x^(4) +x^(2)+ 1))-sqrt(x^(4)+x^(2) + 1))/(x^(2))dx `
`=int(d)/( dx) ((sqrt(x^(4) + x^(2) +1))/( x))dx = ( sqrt( x^(4)+x^(2)+1))/(x ) + c `


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