Page 46 - Integration Problems
P. 46

Example 12:

        Perform the integration,

                                9  /2

                                 ∫    sin(  )     

                                 0
        Make sure your calculator is in radian mode. When

        integrating by parts use the following,
                                                          
                        ∫             =      − ∫               
                                                          


                                
        Let    =    and         = sin(  ), then
                                
                    
                    = 1 and    = ∫ sin(  )      = − cos(  )
                    


           9  /2

            ∫    sin(  )     

            0
                                                         9  /2
                          = −[   cos(  )]    9  /2  + ∫       cos(  )    
                                             0
                                                        0
        Complete the integration,

          9  /2
                                                   9  /2               9  /2
          ∫    sin(  )      = −[   cos(  )]              + [sin(  )]
                                                   0                   0
          0
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