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Find the area of the region between the curves y=lnx and y=ln2x from x=1 and x=5.

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  1. ∫[1,5] (ln2x - lnx) dx
    = ∫[1,5] ln2+lnx-lnx dx
    = ∫[1,5] ln2 dx
    = 4ln2

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