Question

`int_-2^1(x+1)(x-1)(x+2)dx`?

Answer 1

`int_(-2)^1 (x+1)(x-1)(x+2)*dx=-9/4`

Explanation:

`int_(-2)^1 (x+1)(x-1)(x+2)*dx`

=`int_(-2)^1 (x^3+2x^2-x-2)*dx`

=`[x^4/4+(2x^3)/3-x^2/2-2x]_(-2)^1`

=`1/4*(1-16)+2/3*(1+8)-1/2*(1-4)-2*(1+2)`

=`-9/4`