CK-12-Calculus

http://www.ck12.org Chapter 6. Transcendental Functions

; Math Video Tutorials by James Sousa, Integration Involving Inverse Trigonometric Functions, Part2 (6:39)

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; This last video includes an example showing completing the square(19.0), Math Video Tutorials by James Sousa,
Integration Involving Inverse Trigonometric Functions, Part3 (6:18).

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Review Questions

1. 
   

   Finddy/dxofy=sec−^1 x^2.

   
   


2. 
   

   Finddy/dxofy=tan^1 − (^1) x.

   
   


3. 
   

   Finddy/dxofy=ln(cos−^1 x).

   
   


4. 
   

   Finddy/dxofy=sin−^1 e−^4 x.

   
   


5. 
   

   Finddy/dxofy=sin−^1 (x^2 lnx).

   
   


6. 
   

   Evaluate∫√ 9 dx−x 2.

   
   


7. 
   

   Evaluate∫ 13 √xdx(x+ 1 ).

   
   


8. 
   

   Evaluate∫xx 2 −+^31 dx.

   
   


9. 
   

   Evaluate∫−^0 √ (^31) +xx 2 dx.

   
   


10. 
    

    Given the pointsA( 2 , 1 )andB( 5 , 4 ),find a pointQin the interval[ 2 , 5 ]on thex−axis that maximizes angle
    ]AQB.