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Find the area below the graph of f, but f is in fractional form?

  • Thread starter LilTaru
  • Start date
  • #1
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Homework Statement



Find the area below the graph of f.

f(x) = (2x + 5)/[(x + 2)2(x + 3)2] xE [0, 1]

Homework Equations



I know the area under the graph is the definite integral with upper limit = 1; lower limit = 0.

The Attempt at a Solution



I have such a hard time evaluating integrals when they are in fractional form. I know if G(x) is the antiderivative of f, then:

Area = G(1) - G(0)

But, I don't know how to find an antiderivative for f? It seems impossible to me! Someone please help!
 

Answers and Replies

  • #2
Char. Limit
Gold Member
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Have you tried partial fractions? They're going to be very useful here.
 
  • #3
81
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We never learned how to use them... Is there a website that shows how to use them?
 
  • #4
81
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Nevermind... Found a website with a similar question and a step-by-step guide of how to solve it and why! It was really helpful! Thanks for putting me on the right track!
 
  • #5
Char. Limit
Gold Member
1,204
14
It was no problem. Have a great day!
 

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