Integrals help? PLEASE

  • Thread starter kings13
  • Start date
  • #1
27
0

Homework Statement


http://www.webassign.net/larson/4_03-48.gif

a) integral -4f(x) from [0,1] using that graph


Homework Equations





The Attempt at a Solution



i really have no idea what to do. i understand integrals but not with agraph? what is it asking me?
 

Answers and Replies

  • #2
rock.freak667
Homework Helper
6,230
31
Hint: An integral within an interval is the same as computing the area within that same interval.
 
  • #3
27
0
so from [0,1] it is just 1/2bh? wouldnt that be just 1/2 x -4?
 
  • #4
rock.freak667
Homework Helper
6,230
31
so from [0,1] it is just 1/2bh? wouldnt that be just 1/2 x -4?

Numerically, the integral would be -1/2 since the height is at '-1'. So it would be -1/2*-4 I believe.
 
  • #5
27
0
what about from [0,7] with the integral being 8f(x)dx
i did 1/2(7)(1+5)(8) which was wrong. what did i do wrong?
 
  • #6
rock.freak667
Homework Helper
6,230
31
For [0,8] , you have

A triangle in [0,1]

a trapezium in [1,6]

a triangle in [6,8]

So you need to compute the areas there and add them up.
 

Related Threads on Integrals help? PLEASE

  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
1
Views
1K
Replies
6
Views
2K
  • Last Post
Replies
3
Views
704
  • Last Post
Replies
8
Views
1K
  • Last Post
Replies
3
Views
847
  • Last Post
Replies
3
Views
868
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
7
Views
1K
Top