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2 (i) xe" dx -2 (ii) -2e" cos x dx (iii) x sin x dx

2 (i) xe" dx -2 (ii) -2e" cos x dx (iii) x sin x dx

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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Q3. Evaluate the integrals below. For each integral, first calculate the related indefinite inte- gral by using Integration by Parts, then evaluate between the given limits, as in Example 3, Lecture 16.2. You must show your work in each case. Give your answers in terms of T or e (or (v) J-1 both), where appropriate. (i) xe" dx (iv) 64x7 ln x dx 2 r1 (1i) / -2e" cos x dx xe2 dx (iii) ,2 x sin x dx (vi) x cos 3x dx TT
Transcribed Image Text:Q3. Evaluate the integrals below. For each integral, first calculate the related indefinite inte- gral by using Integration by Parts, then evaluate between the given limits, as in Example 3, Lecture 16.2. You must show your work in each case. Give your answers in terms of T or e (or (v) J-1 both), where appropriate. (i) xe" dx (iv) 64x7 ln x dx 2 r1 (1i) / -2e" cos x dx xe2 dx (iii) ,2 x sin x dx (vi) x cos 3x dx TT
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