Question

Calculate the iterated integral. $$***/x2 + yż dy dx 2 (2017) – ) - 150 Need Help? Read It

Answer 1

w * A fls zey I waya dulux A = dy da -O where 'x' as constant Put x² + y² = t • Diff. w.r.t."y' 0+ 2y =dt ydy= when y=o t= x² y=1 t = x²+1 22+1 ( 7xy ✓x?ty: dy = 72 VE .dt x2 2 132 1x²+1 72 - ?**? ( (x2+1)3/2 - (22/3/2) +7 ( 622+1) 3/2 - x) 77 (2²+1,32_23 24 As (ex (2*0% - 3 *) * d2 . . 7 8 x 180 z heran - 2 w

Now put x²+1 = u 2 uto= du (x=0 - u=1 42 = 37uaw) ada du da lo Ź * ((10) 512-) = Į ( 105h-1) 243 da - s A = (5 (1954-)) - 3 (24) A (1954-1) - 567 cthy or further simplifying A = 28 (25110 -61) due 15