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Evaluate the definite integral 2x dx as a limit. Part 1: We know that, by definition, b f(x)dx lim f(ci)(A¤;). ||Az||¬C i=1 For this problem, a = 0 Part 2: Define Ax by by subdividing [0, 2] into n equal subintervals. Thus, in terms of n, Ax = Part 3: Choose c; as the right endpoint of each subinterval. In terms of n, c; = Part 4: f(c:) = MacBook Air

Evaluate the definite integral 2x dx as a limit. Part 1: We know that, by definition, b f(x)dx lim f(ci)(A¤;). ||Az||¬C i=1 For this problem, a = 0 Part 2: Define Ax by by subdividing [0, 2] into n equal subintervals. Thus, in terms of n, Ax = Part 3: Choose c; as the right endpoint of each subinterval. In terms of n, c; = Part 4: f(c:) = MacBook Air

Advanced Engineering Mathematics
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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ight endpoint of each subinterval. In terms of n, C¡ = Part 4: f(c.) =O Part 5: Putting it all together, write the limit to be calculated (don't calculate it yet). 2a dæ = lim : n00 i=1 Part 6: Use the properties and formulas of summation to rewrite your previous expression without using Sigma notation. (Don't calculate the limit yet!) 2x dx = lim n00 Part 7: Now, calculate the limit. 2x dx =
Transcribed Image Text:ight endpoint of each subinterval. In terms of n, C¡ = Part 4: f(c.) =O Part 5: Putting it all together, write the limit to be calculated (don't calculate it yet). 2a dæ = lim : n00 i=1 Part 6: Use the properties and formulas of summation to rewrite your previous expression without using Sigma notation. (Don't calculate the limit yet!) 2x dx = lim n00 Part 7: Now, calculate the limit. 2x dx =
Evaluate the definite integral 2x dx as a limit. Part 1: We know that, by definition, n f(x)dx lim f(ci)(Ax;). ||Ar||→C For this problem, a = 0 Part 2: Define Ax by by subdividing [0, 2] into n equal subintervals. Thus, in terms of n, Ax = Part 3: Choose c; as the right endpoint of each subinterval. In terms ofn, ci = Part 4: f(ci) = MacBook Air
Transcribed Image Text:Evaluate the definite integral 2x dx as a limit. Part 1: We know that, by definition, n f(x)dx lim f(ci)(Ax;). ||Ar||→C For this problem, a = 0 Part 2: Define Ax by by subdividing [0, 2] into n equal subintervals. Thus, in terms of n, Ax = Part 3: Choose c; as the right endpoint of each subinterval. In terms ofn, ci = Part 4: f(ci) = MacBook Air
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