(a) Use the figure to find the value of f (x) da. -3 5 f (z) - 3 -2 -1 2 3 -5 f ( x) dx = (b) If the area of the shaded region is A, what is f (ze ) doc ?Solution : - O 2 given data Area of shaded region A sol ( a) (fix)dx is area of Trapezium - 3 ABDC with a Height h= 5 and - 3 parallel sides AB = 3, CD = 1 = - 10+ 10 - : Area of Trapezium =-( ABt (D ).h ( AI ) = = ( 3 + 1 ) x 5 = 415) = 10 2 E : ( fluidx = - A, [ - sign , since -3 A, i below = - 10 x - axis ) S : Answer Jf( x )dx = - 10 A 3 - 3 2 Sfluidx is Area of trapezium A Aqua A O with parallel sides -5 EF = 1, BG = 3 and height 5 Ag 2 = + ( E F + BG ) x 5 = + (1+ 3 ) x5 - + 10 ( flu) dx = +A2 = + 10 O