Question

PLEASE HELP! MEDAL! @solomonzelman

Answer 1

How do I use the graph of the integrand and areas?

Answer 2

@SolomonZelman @jim_thompson5910 @satellite73

Answer 3

y = -2x + 4

y intercept = (0,4)

Find x intercept

0 = -2x +4

x = -4/-2
x = 2

(2,0)

Find the y of 0.5

y = 0.5 * -2 + 4 = -1 + 4 = 3

(0.5,3)
(1.5,1)

Answer 4

To evaluate the integration you have to find the area from 0.5 to 1.5

Answer 5

This shape area is 0.5 ( b1 + b2) * h

Answer 6

B1 = 1
B2 = 3
h = 1.5 - 0.5 = 1

area is 0.5 * ( 3 +1 ) * 1 = 4 * 0.5 = 2

Answer 7

so -2x + 4 is the integrand?

Answer 8

The quantity being integrated is called integrand

Answer 9

k, thx. I get it now

Answer 10

Any time.