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Finding the area of f(x+1)

  • #1
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6

Homework Statement


Suppose that: 02f(x)dx = 2 12f(x)dx = -1 and 24 = 7, find 01f(x+1)dx

Homework Equations


abf(x) = F(b) - F(a)

The Attempt at a Solution


So in these types of integration, we are needed to use u-substitution, the problem is, using u-substitution requires you to have the equation of the graph to get an exact value, but we just have f(x).I already evaluated 01f(x)dx = 3 if that helps at all.
 

Answers and Replies

  • #2
PeroK
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Homework Statement


Suppose that: 02f(x)dx = 2 12f(x)dx = -1 and 24 = 7, find 01f(x+1)dx

Homework Equations


abf(x) = F(b) - F(a)

The Attempt at a Solution


So in these types of integration, we are needed to use u-substitution, the problem is, using u-substitution requires you to have the equation of the graph to get an exact value, but we just have f(x).I already evaluated 01f(x)dx = 3 if that helps at all.
I don't understand your problem with a simple substitution. Why do you think you can't substitute here?
 
  • #3
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5,294

Homework Statement


Suppose that: 02f(x)dx = 2 12f(x)dx = -1 and 24 = 7, find 01f(x+1)dx
Without punctuation, he line above took me a while to figure out. At first I thought this meant ##\int_0^2 f(x)dx = 2 \cdot \int_1^2 f(x)dx = -1##. IOW that the values of the two integrals were -1 and -1/2, respectively.
Zack K said:

Homework Equations


abf(x) = F(b) - F(a)

The Attempt at a Solution


So in these types of integration, we are needed to use u-substitution, the problem is, using u-substitution requires you to have the equation of the graph to get an exact value, but we just have f(x).I already evaluated 01f(x)dx = 3 if that helps at all.
No, you don't need the equation of the function (f in this case). Just do a substitution and see what you get.
 

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