# WA2 WORKSHEET.docx - Calculus II(MAT-232 Written Assignment...

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Calculus II (MAT-232) Written Assignment 2 Answer all assigned exercises and show all work. Each exercise is worth 4 points. Section 6.2 4. Evaluate the integral. ln x x dx 2 2 2 2 2 2 2 2 2 2 ln 1 2 1 ln 2 2 ln 2 2 1 ln 2 2 1 ln ( ) 2 2 2 ln 2 4 1 (ln ) 2 2 Letu x DV x du x x V x x x dx x x x x dx x x xdx x x x C x X x C x x C 6. Evaluate the integral. ln x dx x WA 2, p. 1
2 2 ln 1 1 2 (ln ) 2 Letu x du x u dx x udx x du udx dx udu u C x C 18. Evaluate the integral.
22. Evaluate the integral.
2 3 3 1 2 3 3 0 1 2 3 3 0 1 3 0 3 3 1 2 3 3 3 0 1 2 3 3 3 0 2 3 3 3 1 0 2 3 2 1 3 1 1 2 3 3 1 2 3 3 1 1 3 1 2 1 3 3 3 3 1 2 2 3 9 9 1 2 2 1 | 3 9 9 3 1 2 3 9 du x x x x x x x x x x x x x x x x x x x Letu x du x dv e V e x e x e x e xe for xe Letu x du dv e v e x x e e e dx x x e e e dx x x e e e x e 3 3 1 0 2 3 1 0 3 3 2 | 27 9 6 2 27 9 6 2 2 27 27 5 2 3.645 27 x x x x xe e x x e e e 24. Evaluate the integral.
2 1 ln x xdx 2 2 2 2 1 2 2 2 1 ln 1 2 ln 2 2 1 1 ln 2 2 2 1 1 1 1 4 ln 2 2 ln1 2 2 2 4 1 3 2ln 2 ln1 2 4 3 ln 4 0.63629 4 u x du x dv x x v x x x dx x x x x    46. Evaluate the integral using integration by parts and substitution.
Section 6.3