Question

Need help with definite integral problem

Answer 1

\[\int\limits_{0}^{2}\]

Answer 2

f(x)dx

Answer 3

its on a graph do you know how i can draw a graph to show you?

Answer 4

screen shot works nicely too

Answer 5

can you read it?

Answer 6

are the 124 supposed to be right there?

Answer 7

i vote for a screenshot

Answer 8

yeah hold on i am making a better one in paint

Answer 9

I prefer to use the snipping tool

Answer 10

where is that at

Answer 11

it suppose to be (2,3) and (3,3)

Answer 12

you using windows?

Answer 13

if so search for snipping

Answer 14

then you can highlight what you want to copy

Answer 15

i found it

Answer 16

ok got it

Answer 17

that what the graph looks like

Answer 18

the definite integral is juts the area under the curve. So make rectangles, triangles, trapezoids and find the area that way

Answer 19

for example

Answer 20

if I had the above I would make a trapezoid, rectangle and triangle and find the area of each

Answer 21

and what do i do after that

Answer 22

add up the areas

Answer 23

note: if the graph lies below the x-axis then the area is negative

Answer 24

so add the lenght and the height of the triangle

Answer 25

find the area of each of the objects created

Answer 26

then add the areas

Answer 27

like this for \[\int\limits_{0}^{2}\]

Answer 28

you would have to include all the area that connects to the x-axis

Answer 29

so you need to go down one more block

Answer 30

and create a trapezoid

Answer 31

ok so the answer would be 4

Answer 32

yes

Answer 33

and what about for \[\int\limits_{0}^{5}\]

Answer 34

continue what you are doing

go from 2 to 3

then from 3 to 5

Answer 35

rectangle then triangle

Answer 36

i dont understand very well

Answer 37

what is the area of the red?

Answer 38

so how would the answer be 10 then?

Answer 39

we are working up to that

Answer 40

piece by piece

Answer 41

what is the area of the red in the pic I attached?

Answer 42

2

Answer 43

no