_ -2 ^ 2.24 [x] d x= where [x] is the greatest integer function

Step-by-step solution

(D) aligned _ -2 ²[ x ] dx &= _ -2 ⁻¹-2 dx + _ -1 ⁰-1 dx + ₀¹ 0 dx + ₁² 1 dx &=-2[ x ]_ -2 ⁻¹+(-1)[ x ]_ -1 ⁰+1[ x ]₁² &=-2[-1-(-2)]-1[-(-1)]+1[2-1] &=-2[1]-1[1]+1[1]=-2-1+1=-2 aligned