Question

Find the area between the graph of y = f(x) and the x-axis from x = -1 to x = 8

2x + 5 if x<0

f(x) = x^2 +5 if 0<(or equal) x <(or equal) 2

-(x-1)^3 + 10 if x>2

Answer 1

all u need to do is to integrate and take the modulus

Answer 2

integrate the first one from -1 to 0, the second one from 0 to 2, the third one from 2 to 8
take the modulus of each result, then add those up

Answer 3

ok, thanks