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Using Integration by Parts, find the indefinite integral of ln(x), and hence show that the integral of ln(x) between 2 and 4 is ln(a) - b where a and b are to be found
Using integration by parts, we can re-write the integral of ln(x) as (xln(x) - int(x(1/x))) = x*ln(x) - x
Therefore, evaluating between 2 and 4 gives us (4ln(4) - 4) - (2
Explain the formation of a waterfall
As water flows over underlying rocks, it erodes softer rock much faster than harder rock. This creates a small step in the stream or river.
Explaining the formation of waterfalls
