The Fundamental Theorem of Calculus

  • #1

Homework Statement


Evaluate the definite integral of the algebraic function. Use a graphing utility to verify your result.
Integral from [1 to 2] of (3/x^2 - 1)

Homework Equations


The answer is 1/2
f(x)dx= F(b) - F(a)

The Attempt at a Solution


I tried taking it to make it -x^-3 - 1x as the antiderivative but when I put 2 in and then 1 I don't get the answer.
 

Answers and Replies

  • #2
Nathanael
Homework Helper
1,650
239
I tried taking it to make it -x^-3 - 1x as the antiderivative
Take the derivative to check your answer. Is it correct?
 
  • #3
Take the derivative to check your answer. Is it correct?
Gosh dang it I was going down in exponent when I should have been going up. The new derivative would be -3x^-1 -1x making the answer be -3.5+4 Thus the answer is .5. Thank you so much.
 

Related Threads on The Fundamental Theorem of Calculus

  • Last Post
Replies
1
Views
793
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
4
Views
4K
  • Last Post
Replies
1
Views
984
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
3
Views
810
  • Last Post
Replies
1
Views
972
  • Last Post
Replies
2
Views
611
  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
5
Views
1K
Top