Integration - Mixed Practice

Here's a worksheet with 32 integration practice problems Links to an external site. that can all be done using what you learned in Calculus 1 (and other prerequisite courses). 

Some of these problems are quite challenging and some were chosen to briefly review a specific algebra skill.  Look for opportunities to:

  • factor a polynomial
  • square a binomial
  • complete the square
  • do polynomial long division

There are some definite integrals and some indefinite integrals. You'll find a group of problems that are mostly "natural logarithm" forms and a group of problems that are mostly "inverse tangent" forms.  The more practice you get with recognizing the different forms, the better off you will be in Calculus 2!

Try these problems on your own, then get a hint or check your work using the answer key Links to an external site. or the video solutions below.  

Jump to problem: 5   10   15   20   25   30

Problem 1 Links to an external site.

Problem 2 Links to an external site.

Problem 3 Links to an external site.

Problem 4 Links to an external site.