Evaluate the following integrals. int_1^{e^2}frac{(ln x)^5}{x}dx

Trent Carpenter 2021-01-02 Answered
Evaluate the following integrals.
1e2(lnx)5xdx
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Expert Answer

unessodopunsep
Answered 2021-01-03 Author has 105 answers
Given:
1e2(lnx)5xdx
Use substitution to solve
Let
lnx=t
1xdx=dt
when
x=1, t=0
x=e2, t=2
=02t5dt
=[t66]02
=16(260)
=64610.66
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