<prompt> Tafuta eneo linalopakana na grafu ya y arccossin x na mhimili x-katika muda wa fracpi2 le x le frac5 pi 2.  <response>: Tuseme fracpi2 le x le frac3 pi2. Kishasin x cos kushoto x - fracpi2 kulia,na 0 le x - fracpi2 le pi, hivyoarccossin x x - fracpi2.Sasa, tuseme frac3 pi2 le x le frac5 pi 2. Kishasin x cos kushoto frac5 pi2 - x kulia,na 0 le frac5 pi2 - x le pi, hivyoarccossin x frac5 pi2 - x.Kwa hivyo, grafu ya y arccossin x kwa fracpi 2 le x le frac5 pi2 ina sehemu mbili za laini, zinazotoka left fracpi2, 0 right hadi left frac3 pi2, pi kulia, kisha hadi kushoto frac5 pi2, 0 kulia.asyukubwa wa kitengo 1 cm;chorapi2,0--3pi2,pi--5pi2,0,nyekundu;chorapi2,0--5pi2,0;chorapi2,0--pi2,pi;lebofracpi2, pi2,0, S;lebofrac5 pi2, 5pi2,0, S;lebofrac3 pi2, 3pi2,0, S;lebo0, pi2,0, W;lebopi, pi2,pi, W;asyKwa hivyo, eneo tunalovutiwa nalo ni pembetatu yenye msingi 2 pi na urefu pi, kwa hivyo eneo lake ni frac12 cdot 2 pi cdot pi pi 2. 