Evaluate the integral by interpreting it in terms of areas. in other words, draw a picture of the region the integral represents, and find the area using high school geometry.
(0 → 4) ∫|2x−5|dx

17/2

Step-by-step explanation:

The graph of the given absolute funciton |2xd-5| is attached below

Find the area of each triangle using the graph

Take the area from x=0 to 4

break the graph into two right angle triangle

Area of the triangle = 1/2 times base times height

Green triangle x=2.5 to 4

base = 3/2  and height = 3

Area of green part =

Red triangle x=0 to 2.5

base = 5/2  and height = 5

Area of red part =

Total area=

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer

theres no picture: /

step-by-step explanation: