homework5 (1) - 31B Homework 5- Due Friday, May 10th in...

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31B Homework 5- Due Friday, May 10th in classUncollected problems:Section 8.6 # 5, 6, 11, 20, 21, 27, 29, 37, 40, 43, 47, 59, 64, 67, 77, 81Section 8.8 # 7, 10, 15, 31, 33, 35, 44, 53Collected problems:1. Integrate the following improper integrals:(a)Z10xln(x)dx(b)Z-∞x3e-x4dx
Then do a u-subu=x4sodu= 4x3dxin both of the integrals to getZ-∞x3e-x4dx=14limR→-∞Z0R4e-udx+ limR→∞ZR0e-udx=-14limR→-∞(e0-e-R4) + limR→∞(e-R4-e0)= 0

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Term
Spring
Professor
VALDIMARSSON

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