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Calculus

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Let R be the region bounded by y = 1/x, the lime x = 1, the line x = 3 and the x-axis. The line x = k divides R into two regions of equal area. Determine k.

  • Calculus -

    so
    [integral] 1/x dx form 1 to k = [integral] 1/x dx from k to 3
    lnx from 1 to k = lnx from k to 3
    ln k - ln1 = ln3 - lnk
    2lnk = ln3 + ln1
    ln (k^2) = ln3 + 0
    k^2 = 3
    k = √3

  • Calculus -

    Thank you!!

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