Question

Find the area of the region that is bounded by the given curve and lies in the specified sector. p=el-H), 5051

Answer 1

Solve: Gilveni rad) & II Lost . The area under Carne :- A= Sokolda Isolate o for: - If f(x) = g(x) then In (f(x)) = in /a(x)) So, In(s) = ln(e) luminaulu miz Thus, Iulo) = o lule se lule) =1} In() = 0 - = -4 lul) So f(o)= -414(e) 4 a = Il & bat Thus, Area A = 61-41465lar 45 mincoder o Now; apply integration by parts: - M2 TIL :

so; Suvl=ux-sur- Here, u=lult) & 4/21 so; oltre (mer) u~ t . dluerlahat also, w'at adual dvaldr Sax=slar [ Jadnaartch Nagy So, By :- (tula).- Sf-dr) + 1 9 Now; Compute boundourdes:- tim (lulahror) - lim (hulthat) to rHI a(run) - 11 ) - (Z109)-5') + (lula)-e) - puch) ) FBu o

Refine! - - - 21+ 4114 (t)- 2rln (1)+c Therefore, Finally, The area isi- A = – 2714 471n(t)-2114 (2) - 5.26 453... x 5.26

FIGURE: - ?2077