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Unformatted text preview: Home > My Assignments > Section 5.6 (Homework) About this Assignment SMALL BRIAN DIXON MA 241, section 009, Fall 2005 Instructor: Drew Pasteur North Carolina State University Due: Wednesday, August 31, 2005 11:08 PM EDT Description Integration by Parts Current Score: 0 out of 22 Question Score 1. [SCalcCC2 5.6.02.] Evaluate the integral using integration by parts with the indicated choices of u and dv. (To enter , type theta.) pts subs 1 -/2 -/20 Notes (No Response) [theta * sin(theta) + cos(theta)] + C 2. [SCalcCC2 5.6.04.] Evaluate the integral. pts subs 1 -/2 -/20 Notes (No Response) [(1/9)*(x^9)*ln(x) - (1/81)*(x^9)] + C 3. [SCalcCC2 5.6.06.] Evaluate the integral. pts subs 1 -/2 -/20 Notes (No Response) [x*asin(x) + sqrt(1-x^2)] + C 4. [SCalcCC2 5.6.08.] Evaluate the integral. (Let a be any constant.) pts subs 1 -/2 -/20 Notes (No Response) cos(a*x)] + C [-(x^2)/a * cos(a*x) + (2*x)/(a^2) * sin(a*x) + 2/(a^3) * 5. [SCalcCC2 5.6.10.] Evaluate the integral. pts subs 1 -/2 -/20 Notes (No Response) [t^3*exp(t) - 3*t^2*exp(t) + 6*t*exp(t) - 6*exp(t)] + C 6. [SCalcCC2 5.6.12.] Evaluate the integral. pts subs 1 -/2 -/20 Notes (No Response) [(1/2)*t*sin(ln(t)) - (1/2)*t*cos(ln(t))] + C 7. [SCalcCC2 5.6.14.] Evaluate the integral. (To enter , type theta.) pts subs 1 -/2 -/20 Notes (No Response) [(2/5)*exp(-theta)*sin(2*theta) - (1/5)*exp(theta)*cos(2*theta)] + C 8. [SCalcCC2 5.6.16.] Evaluate the integral. pts subs 1 -/2 -/20 Notes (No Response)[4.28] 9. [SCalcCC2 5.6.18.] Evaluate the integral. pts subs 1 -/2 -/20 Notes (No Response) [-6*exp(-1) + 3] 10. [SCalcCC2 5.6.22.] Evaluate the integral. pts subs 1 -/2 -/20 Notes (No Response) [(1/2)*(x^2*atan(x) + atan(x)-x)] + C pts subs 1 -/2 -/20 Notes 11. [SCalcCC2 5.6.26.] First make a substitution and then use integration by parts to evaluate the integral. (No Response) [(1/3)*x^3*sin(x^3) + (1/3)*cos(x^3)] + C Home My Assignments ...
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This note was uploaded on 10/21/2009 for the course MATH MA241 taught by Professor Hubbard during the Spring '09 term at N.C. Central.

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