Integration of Standard Functions

 

 

 

Contents

 

Integration

  

Indefinite Integrals

 

Algebraic Functions

 

Exponential Functions

 

Logarithmic Functions

 

Trigonometric Functions

 

Inverse Trigonometric

 

Algebraic Fractions

    

Quiz

  

Calculus Main Page

Quiz

 
 
Integrate the following with respect to x.
         
 
      sin4x
 
      sec x
 
         
 
         
 
Scroll down the page for answers.
 
              
 
             
Note: The main identity used here is the double angle formula for cosine.
 
             
Note: This question requires much observation and careful consideration. We try to create a fraction such that the numerator is the derivative of the denominator. This method is also used for the integration of the cosecant function. Try it!