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  Integration
  
   
   Indefinite integration
   Involving only one direct function 
    
    Involving one direct function and elementary functions
    
     
     Involving power function
     
      
      Involving power
      Involving znand  linear arguments 
     
     Involving exponential function
     
      
      Involving exp
      Involving ab z 
     
     Involving exponential function and a power function
     
      
      Involving exp and power
      Involving zn eb z 
     
     Arguments involving inverse trigonometric functions
     Involving sin-1 Involving cos-1 Involving tan-1 Involving cot-1 Involving csc-1 Involving sec-1 
     
     Arguments involving inverse hyperbolic functions
     Involving sinh-1 Involving cosh-1 
     
     Involving trigonometric functions
     
      
      Involving sin
      Involving sin(b z) 
      
      Involving power of sin
      Involving sinm(b z) 
      
      Involving cos
      Involving cos(b z) 
      
      Involving power of cos
      Involving cosm(b z) 
     
     Involving trigonometric and a power functions
     
      
      Involving sin and power
      Involving znsin(a+b z) 
      
      Involving power of sin and power
      Involving znsinm(b z) 
      
      Involving cos and power
      Involving zncos(a+b z) 
      
      Involving power of cos and power
      Involving zncosm(b z) 
     
     Involving trigonometric and exponential  functions
     
      
      Involving sin and exp
      Involving ep zsin(b z) 
      
      Involving power of sin and exp
      Involving ep zsinm(b z) 
      
      Involving cos and exp
      Involving ep zcos(b z) 
      
      Involving power of cos and exp
      Involving ep zcosm(b z) 
     
     Involving trigonometric, exponential and a power functions
     
      
      Involving sin, exp and power
      Involving zn ep z sin(a+b z) sec( c z)  
      
      Involving powers of sin, exp and power
      Involving zn ep z sinm(b z) sec(c z) 
      
      Involving cos, exp and power
      Involving zn ep z cos(a+b z) sec( c z)  
      
      Involving powers of cos, exp and power
      Involving zn ep z cosm(b z) sec(c z) 
    
    Involving functions of the direct function
    
     
     Involving powers of the direct function
     
      
      Involving powers of sech
      Linear argument Involving products of the direct functions 
     
     Involving rational functions of the direct function
     Involving (a+b sec(z))-n Involving (a+b sec2(z))-n 
     
     Involving algebraic functions of the direct function
     Involving (a+b sec(c z))beta Involving ((a+b sec(c z))n)beta Involving (a+b sec2(c z))beta Involving ((a+b sec2(c z))n)beta 
    
    Involving functions of the direct function and a power function
    
     
     Involving powers of the direct function and a power function
     
      
      Involving powers of sech and power
      Involving znand  linear arguments 
    
    Involving functions of the direct function and exponential function
    
     
     Involving powers of the direct function and exponential function
     
      
      Involving  exp
      Involving eb z 
    
    Involving functions of the direct function, exponential and a power functions
    
     
     Involving powers of the direct function, exponential and a power functions
     
      
      Involving  exp and power
      Involving zn eb z 
    
    Involving functions of the direct function and trigonometric functions
    
     
     Involving powers of the direct function and trigonometric functions
     
      
      Involving sin
      Involving sin(b z) 
      
      Involving powers of sin
      Involving sinm(b z) 
      
      Involving cos
      Involving cos(b z) 
      
      Involving powers of cos
      Involving  cosm(b z) 
    
    Involving functions of the direct function, trigonometric and a power functions
    
     
     Involving powers of the direct function, trigonometric and a power functions
     
      
      Involving sin and power
      Involving znsin(a+b z) secv( c z)  
      
      Involving powers of sin and power
      Involving znsinm(b z) secnu(c z) 
      
      Involving cos and power
      Involving zncos(a+b z) secv( c z)  
      
      Involving powers of cos and power
      Involving zncosm(b z) secnu(c z) 
    
    Involving functions of the direct function, trigonometric and exponential functions
    
     
     Involving powers of the direct function, trigonometric and exponential functions 
     
      
      Involving sin and exp
      Involving ep z sin(a z) secv( c z)  
      
      Involving powers of sin and exp
      Involving ep z sinm(a z) secnu(c z) 
      
      Involving cos and exp
      Involving ep zcos(a z) secv( c z)  
      
      Involving powers of cos and exp
      Involving  ep z  cosm(a z) secnu(c z) 
    
    Involving functions of the direct function, trigonometric, exponential and a power functions
    
     
     Involving powers of the direct function, trigonometric, exponential and a power functions
     
      
      Involving sin, exp and power
      Involving zn ep z sin(a+b  z) secv( c z)  
      
      Involving powers of sin, exp and power
      Involving zn ep z sinm(b z) secnu(c z) 
      
      Involving cos, exp and power
      Involving zn ep z cos(a+b z) secv( c z)  
      
      Involving powers of cos, exp and power
      Involving zn ep z cosm(b z) secnu(c z) 
   
   Definite integration
   For the direct function itself |