Integral calculus
     The indefinite integral
      Binomial integral
         Solving binomial integrals examples
Binomial integral
Integral of the form
is called the binomial integral where, a and b are real numbers while m, n and p are rational numbers.
If  m, n and p all are integers then the integrand is a rational function integration of which is shown above.
There are only three cases the binomial integral can be solved by elementary functions:
1.  if  m and  n are fractions and  p is an integer then, the integral can be solved using substitution  x = t s   where s is the least common denominator of  m and n.
2.  if  p is a fraction and  (m + 1) / is an integer, then the integral can be solved using substitution
  a + bxn = t s,  where  s  is denominator of  p.
3.  if  p is a fraction and  (m + 1) / n + is an integer then, the integral can be solved using substitution
  ax - n + b = t s,  where  s  is denominator of  p.
Solving binomial integrals, examples
Example:  82. Evaluate
Solution: 
Example:  83. Evaluate
Solution: 
Example:  84. Evaluate
Solution: 
Calculus contents F
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