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d) Now find the sum of the areas of n approximating rectangles. Note: your answer will be an expression in terms of n. f(x) Ax = e) Finally, find the exact value of the integral by letting the number of rectangles approach infinity. n [ √₂₁² (2²³ + 42 + 4x + 7) dx = lim f(x) Ax = 818 i=1

d) Now find the sum of the areas of n approximating rectangles. Note: your answer will be an expression in terms of n. f(x) Ax = e) Finally, find the exact value of the integral by letting the number of rectangles approach infinity. n [ √₂₁² (2²³ + 42 + 4x + 7) dx = lim f(x) Ax = 818 i=1

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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Solve d and e part only in 10 min i attached the answrrs of a, b and c part
Question 9 Work through the following steps to evaluate • 1² (2² (x² + 4x + 7) dx. a) We know that a = and b= b) Using n2 subintervals, Ax= c) Assume that the sample points in each interval are right endpoints. Find the following sample points: #1 I₂ = 23 = In general, the ith sample point is x = Note: your answer will be an expression in terms of i and n. d) Now find the sum of the areas of n approximating rectangles. Note: your answer will be an expression in terms of n. n f(x) Ax= i=1 e) Finally, find the exact value of the integral by letting the number of rectangles approach infinity. n [² (2² + 4x + 7)dz = lim f(xi) Ax= = n4x i=1 || 00
Transcribed Image Text:Question 9 Work through the following steps to evaluate • 1² (2² (x² + 4x + 7) dx. a) We know that a = and b= b) Using n2 subintervals, Ax= c) Assume that the sample points in each interval are right endpoints. Find the following sample points: #1 I₂ = 23 = In general, the ith sample point is x = Note: your answer will be an expression in terms of i and n. d) Now find the sum of the areas of n approximating rectangles. Note: your answer will be an expression in terms of n. n f(x) Ax= i=1 e) Finally, find the exact value of the integral by letting the number of rectangles approach infinity. n [² (2² + 4x + 7)dz = lim f(xi) Ax= = n4x i=1 || 00
INO:9 a = 3,6:17 니 Dx= 13+X X2=13+음 x3 = √3+1/2/2 10-20103) 200 = 13 +(목)은 +=TX ports a
Transcribed Image Text:INO:9 a = 3,6:17 니 Dx= 13+X X2=13+음 x3 = √3+1/2/2 10-20103) 200 = 13 +(목)은 +=TX ports a
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