Let f(x) = for sin(t²) dt. Find f" (x).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question 5
Let f(x) = fx sin(t²) dt. Find f" (x).
Question 6
Let N> 0 be an integer.
(a) Use a lower Riemann sum to show that
2 = = * = 46
dx.
x²
(b) Hence show that the series converges, and that
j=1
≤ 2.
<
Transcribed Image Text:Question 5 Let f(x) = fx sin(t²) dt. Find f" (x). Question 6 Let N> 0 be an integer. (a) Use a lower Riemann sum to show that 2 = = * = 46 dx. x² (b) Hence show that the series converges, and that j=1 ≤ 2. <
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