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melted cheese
Lv 4
melted cheese asked in Science & MathematicsMathematics · 1 decade ago

What is the integral of sin(ln(x))/x?

sin(ln(x))dx / x

Sorry, I forgot the dx.

Update:

I'm doing some Calculus homework and I can't figure out exactly how to solve this... haven't had much practice with integration by parts.

Solutions/help would be nice, thanks--

Update 2:

I think Answers just swapped my Additional Details with the "a little more detail" part. Heh..

1 Answer

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  • nle
    Lv 7
    1 decade ago
    Favorite Answer

    let u = ln(x) then u ' = 1/x

    integral has the form sin(u) du then the integral is - cos(u)

    or go back to x it is -cos ( ln(x) ) +C

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