Calculate the upper sums un and lower sums Ln, on a regular partition of the intervals, for the following integrals. (a) √₁³ (2² (2 – 3x) dx (1) Un (ii) Ln = (b) ² (4+128²) da (1) Un = (ii) Ln = (c) (1) Un (11) In R²₁ where H(a) is the Heaviside function as defined in the course notes. H(x - 2) dx = AY = AY Po A₂ AY
Calculate the upper sums un and lower sums Ln, on a regular partition of the intervals, for the following integrals. (a) √₁³ (2² (2 – 3x) dx (1) Un (ii) Ln = (b) ² (4+128²) da (1) Un = (ii) Ln = (c) (1) Un (11) In R²₁ where H(a) is the Heaviside function as defined in the course notes. H(x - 2) dx = AY = AY Po A₂ AY
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:2
(d)
D(x) dx
where D(x) is the Dirichlet function as defined in the course notes.
(1) Un =
(ii) Ln
=
Transcribed Image Text:Calculate the upper sums Un and lower sums Ln, on a regular partition of the intervals, for the following integrals.
• L² (2.
(a)
(i) Un =
(ii) Ln =
(b)
(2 – 3x) dx
6² (
(ii) Ln
(1) Un =
(c)
(4+ 12x²) dx
(1) Un
=
H(x - 2) dr
=
Po
[₁².
where H(x) is the Heaviside function as defined in the course notes.
(II) Ln =
HO
PO
TH
TH
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