Evaluate the integrals \int\frac{1}{x}(1+7\ln x)^{-1/3}dx

tricotasu

tricotasu

Answered question

2021-10-26

Evaluate the integrals
1x(1+7lnx)13dx

Answer & Explanation

firmablogF

firmablogF

Skilled2021-10-27Added 92 answers

Given:
1x(1+7lnx)13dx
Solution
1e1x(1+7lnx)13dx
Let 1+7lnx=u
7lnx=u1
lnx=u17
1xdx=17du
At x=1,u=1
At x=e, u=8
1718u13du
=17(u13+113+1)18
=314(u23)18
=314(41)
=914

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