Question

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

Answer 1

`-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`