Question

The graph of the function f(x)=9-x?is given below. Which of the following definite integrals yields the area of the shaded region? 8 5 4 3 2 -5 -4 -3 1 2 3 4 5 X

Answer 1

Y -3 da "X Let us consider a strip of thickness da. Hence the area of shaded Region is given by As so you = ydx = Sia Se findex Lince the vertical strip moves from 25-3 to x=3 on x-axis - Therefore a=-3 & 6=3 Also given fin) = 9-2² Hence the definate integral that yield & the area of the shaded region is A = f (g-x²) da се случ Hit kedy Thanks ... Option [first in the comect answer-