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Integral ln(x)  Math2.org
http://math2.org/math/integrals/more/ln.htm
ln(x) dx set u = ln(x), dv = dx then we find du = (1/x) dx, v = x substitute ln(x) dx = u dv and use integration by parts = uv  v du substitute u=ln(x), v=x, and du=(1/x)dx = ln(x) x  x (1/x) dx = ln(x) x  dx = ln(x) x  x + C = x ln(x)  x + C. Q.E.D.
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Integral ln(x)  math
http://www.math.com/tables/integrals/more/ln.htm
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e and ln  AlgebraLAB
http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_Exponents_e.xml
The natural logarithm (ln) Another important use of e is as the base of a logarithm. When used as the base for a logarithm, we use a different notation. Rather than writing we use the notation ln(x).This is called the natural logarithm and is read phonetically as “el in of x”. Just because it is written differently does not mean we treat it differently than other logarithms.
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LEO Dr David P. Chan Bachelor of Science (Honours) in Data …
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