`f(x)={(5x-1(x<1)),(2x^2 +x-3(x≥1)):}`

`2\int_(-1)^(0)f(x)dx-3\int_(1)^(2)f(x)dx`

`=2\int_(-1)^(0) (5x-1)dx-3\int_(1)^(2)(2x^2 +x-3)dx`

`=2(5/2 x^2 -x)|_(-1)^(0)` `-3(2/3 x^3 +1/2 x^2 -3x)|_(1)^(2)`

`=2(0-5/2-1)-3(2/3 .2^3  +1/2 .2^2-3.2-2/3-1/2 +3)`

`=2.(-7/2)-3.(19)/6=-(33)/2`