WeBwork MATH1850-za... X c A Horizontal String Tied A... X DM Mathway I Math Pro

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WeBwork MATH1850-za... X c A Horizontal String Tied A... X DM Mathway I Math Problem X http Integration by Parts/6/ c mastering physics We Work MATHEMATICAL ASS0CIATION 0F AMERICA K webwork math 1850-zakuta hw7 integration by parts 6 MAIN MENU Courses Homework Sets HW7 Integration by Parts: Problem 6 HW7 Integration by Parts Prob Prev Up Next Password/Email Entered Answer Preview 462.7239436 462.7239436 Problems The answer above is NOT correct Problem 1 (1 pt) Evaluate the definite integral 2 ln (3t)dt 462.7239436 Problem 4 Problem 5 Problem 6 Preview Answers Submit Answers Problem 7 Problem 8 Your score was recorded You have attempted this problem 20 times. Display options You received a score of 0% for this attempt. Your overall recorded score is 0%. View equations as: You have unlimited attempts remaining Images Email instructor Show saved answers? Apply Opt Result ncO Logged meesw. Log Out bukh 5.42 PM 2/1/2016

Explanation / Answer

[3 to 8] t2(ln 3t) dt

for t2(ln 3t) dt

inttegration by parts:u dv =uv - v du

u =ln3t=>du=1/t , dv=t2dt =>v=(1/3)t3

t2(ln 3t) dt =(ln3t)(1/3)t3 -(1/3)t3(1/t)

t2(ln 3t) dt =(ln3t)(1/3)t3 -(1/3)t2dt

t2(ln 3t) dt =(1/3)(ln3t)t3 -(1/3)(1/3)t3 +c

t2(ln 3t) dt =(1/3)(ln3t)t3 -(1/9)t3 +c

[3 to 8] t2(ln 3t) dt =(1/3)(ln24)83 -(1/9)83 +c -(1/3)(ln9)33 +(1/9)33 +c

[3 to 8] t2(ln 3t) dt =(512/3)(ln24) -(512/9) -9(ln9) +3

[3 to 8] t2(ln 3t) dt =468.7239

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