<prompt> Tumia Kanuni ya Kiini na mn2 kukadiria thamani ya kiungo iint_Rleftx-3 y2kulia d A, ambapo Rx, y katikati 0 leqslant x leqslant 2,1 leqslant y leqslant 2.  <response>: Katika kutumia Kanuni ya Kiini na mn2, tunatathmini fx, yx-3 y2 katikati ya mistatili minne iliyoonyeshwa kwenye Mchoro 10. Kwa hivyo barX _1frac12, barX_2frac32, bary_1frac54, na bary _2frac74. Eneo la kila mstatili ni Delta Afrac12. Hivyoanzailiyopangwaiint_Rkushotox-3 y2kulia d A takriban jumla_i12 sum_j12 fleftbarx_i, bar y_jkulia Delta A fkushotobarx_1, bary_1kulia Delta Afleftbarx_1, bary_2kulia Delta A fkushotobarx_2, bary_1kulia Delta Afleftbarx_2, bary_2kulia Delta A fleftfrac12, frac54kulia Delta Afleftfrac12, frac74 kulia Delta Afkushotofrac32, frac54kulia Delta Afkushotofrac32, frac74kulia Delta A kushoto-frac6716kulia frac12left-frac13916kulia frac12 kushoto-frac5116kulia frac12left-frac12316kulia frac12 -frac958-11.875mwishoiliyopangwaHivyo tunaiint_Rkushotox-3 y2kulia d A takriban-11.875 