(a) Draw graphs for the following functions, and

(b) evaluate the area between the curves over the stated interval:

y1 = 8 – x2 and y2 = –x + 6 from x = –1 to x = 2

(a) See Fig. 12-6.

(b) From Fig. 12-6, the desired area is the area under the curve specified by y1 = 8 – x2 from x = –1 to x = 2 minus the area under the curve specified by y2 = –x + 6 from x = –1 to x = 2. Using the properties of definite integrals,

Transcribed Image Text:

y 7 y =8x2 0 5 4 + 3 2 3 -2 -1 2 4 y2=-x+6 x