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

Trent Carpenter

Trent Carpenter

Answered question

2021-01-02

Evaluate the following integrals.
1e2(lnx)5xdx

Answer & Explanation

unessodopunsep

unessodopunsep

Skilled2021-01-03Added 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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