Question

A region Q is bounded by y=x^3 , x=3 and y=-8. Find the area of region Q.

Answer 1

you 8 Sonia y = x² x= 38 plot graph :) |sy=x² (3127) 4 Z -6-5-4-3 -- 2 - 1 2 3 4 >x 6.2 3 -G -5 -C -> 62,-8) We need to calculare Total Area = {A} Area (A) + Area (A2) 2=3 Now, Ai s y = f(x) dx Xeo 3 8y = x) dx 3 s x² dx 3. = 1 [14] 3 2 {3% o G

AL- 99 4 y=0 For Area (As) s [= f(y)] dy y = -8 o S 73 y dy 8 [ymarul Etu [ym]. 3 = 3 [0 - {(-2)})%] **(-16) Az - 12 by region 1 = Total Area enclosed {AL - Artan 34 - 12 4 Axea (A) 23 8:25 Sq: u units. 4