Evaluate the integration of ;( sin(8Inx) all devided by x)dx?

1 Answer
Timber Lin
Apr 29, 2018

-1/8cos(8lnx)+C

Explanation:

intsin(8lnx)/xdx

using u substitution:

let u=8lnxrarrdu=8/xdx

=1/8intsin(u)du
=1/8(-cosu+C)
=-1/8cosu+C
=-1/8cos(8lnx)+C

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