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General Rules of Integration
Rules for determining definite integrals for common functions
6
Mathematics
Undergraduate 1
12/15/2009
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Term


 



f(x) = axn

 Definition

 

 

                     a

F(x) =     -----------  * xn+1 + K       (n ≠ 1)

                   n+1
Term

 

 

 

 

f(x) = gx

 Definition

 

 

 

                gx

F(x) = ------------   + K

              ln (g)
Term

 

 

 

 

f(x) = ex

 Definition

 

 

 

 

F(x) = ex + K
Term

 

 

 

             1

f(x) =  ------

             x

 Definition

 

 

 

 

F(x) = ln |x|+ K
Term

 

 

 

 

f(x) = ln (x)

 Definition

 

 

 

 

F(x) = x * ln(x) - x + K
Term

 

 

 

 

f(x) = glog(x)

 Definition

 

 

 

                  1

F(x) =   ---------- * (x * ln(x) - x) + K

               ln (g)
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