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Evaluate int (sin(ln x))/x dx...

Evaluate `int (sin(ln x))/x dx`

Text Solution

Verified by Experts

`int (sin(Inx))/x dx`
Let In x = t, then dt 1/x dx
Hence `I = int sin r . dt`= -cos t + C = - cos (In x) + c (where .c. is arbitrary)
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Knowledge Check

  • The value of int (sin (log x))/(x)dx is-

    A
    `cos (log x)+c`
    B
    `-cos (log x)+c`
    C
    `sin (log x)+c`
    D
    `-sin (log x)+c`
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