Practice on Basic Antiderivatives and Derivatives


You should be able to very quickly find derivatives and antiderivatives for the following.

The first several sets of integrals are grouped by type (e.g., power functions, exponential functions, etc.)

These sets are followed by sets having mixed types.  You can click on Mixed Types to jump directly to that set.

Each set consists of unsimplified forms, followed by unsimplified solutions, then by simplified expressions and solutions.

Quickly find the derivative and simplest antiderivative for each of the functions shown below:

Results show original function, derivative, antiderivative:

Same results in simplified form:

Remaining sets are in the same format.  Where there are only two columns in the 'answer figures' only the derivative was calculated.

 

 

 

 

 

Mixed Sets:

Find derivative and simplest antiderivative of each:

 

 

 

 

 

Only simplified final forms are given here: