Natural Logarithm and Exponential Functions


1.        d(ln u) =      du
                              x

2.         1 dx = ln u+ C
               u

3.        d(ex) = ex dx

4.         ex dx = ex + C

5.        d(eu) = eu du

6.         eu = eu + C

7.        d(au) = au du ln a

8.         au du =   au    + C
                             
ln a  

9.        d(loga u) =       du    
                                 u ln a

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