Earlier we encountered the power rule used in finding derivatives:

We now notice that we can translate the above rule for derivatives into the language of antiderivatives, as stated below:
THE ANTIPOWER RULE  

We first encountered the table below as examples of the power rule for derivatives, and we then filled in the boxes of the rightmost 2 columns. This earlier table is enhanced below to include exercizes solved using the power rule for antiderivatives: the ANTIPOWER RULE. As we did earlier, the first 14 rows will be completed in class or in an online exercise, emphasizing the first column. The last 4 rows are left as problems on your takehome test. For several of these problems, rules for exponents will be helpful.