Standard Substitutions:

• For terms of form x² + a² or   , put x = a tanθ or a cotθ

        For terms of form x² - a² or , put x = a secθ or a cosecθ

        (A)  For terms of form a² - x² or , put x = a sinθ or a cosθ

• If both    are present, then put x = a cosθ.
• For the type  .
• For type  , put the expression within the
  bracket = t.
• For type   (n ∈ N, n> 1), put x+b/x+a= t.
• For  , n₁,n₂ ∈ N (and > 1), again put (x + a) = t (x + b) 

Example: Evaluate .          

Solution:      

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