Let f be a differentiable function with domain R. We define F(x) = f f(t)dt. Given the following table: f(x) F(x) 1 4 3 2 1 4 3 2 3 4 3 1 5 4 2 Compute f(x+2) f'(x)dx. Hint: use integration by parts and FTC part 2. Enter your answer in decimal form. Round to two decimal places if needed (e.g. enter 0.1 as 0.1, enter 0.2345 as 0.23 or 0.24).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let f be a differentiable function with domain R.
We define F(x) = f f(t)dt.
Given the following table:
f(x)
F(x)
1
4
3
2
1
4
3
2
3
4
3
1
5
4
2
Compute f(x+2) f'(x)dx. Hint: use integration by parts and FTC part 2.
Enter your answer in decimal form. Round to two decimal places if needed (e.g. enter 0.1 as 0.1, enter
0.2345 as 0.23 or 0.24).
Transcribed Image Text:Let f be a differentiable function with domain R. We define F(x) = f f(t)dt. Given the following table: f(x) F(x) 1 4 3 2 1 4 3 2 3 4 3 1 5 4 2 Compute f(x+2) f'(x)dx. Hint: use integration by parts and FTC part 2. Enter your answer in decimal form. Round to two decimal places if needed (e.g. enter 0.1 as 0.1, enter 0.2345 as 0.23 or 0.24).
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