1.

If int_(-20)^(-10)((x^(2)-x)/(x^(3)-3x+1))^(2)+dx+int_(1/21)^(1/11)((x^(2)-x)/(x^(3)-3x+1))^(2)dx + int_(21/20)^(11/10)((x^(2)-x)/(x^(3)-3x+1))^(2)dx=l then l+420/7939 is equal to

Answer»

`110/939`
`110/969`
`110/739`
`120/759`

SOLUTION :PUT `x=1/(1-t)` in `l_(2)` and `x=1-1/t` in `l_(3)`
We get `L=int_(-20)^(-10) ((x^(2)-x)/(x^(3)-3x+1))(1+1/(x^(2))+1/(1-x)^(2))dx`
Let `U=(x^(3)-3x+1)/(x(x-1))` then `l= int(du)/(u^(2))`


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