Integrals Involving Inverse Trigonometric Functions

• 

 

 
 
 

Proof:
Let y = arcsin (u/a)
 

Then 

so 

 

• Similarly,

 

 


 

• and

 

 

Example:

Let  a = \/2 and u = 3x
Then  du = 3 dx and du/3 = dx

Substituting produces

Substituting x-values back in produces

   or

Problems

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