Simplifying #int(1-x^2)/4dx# and then integrating gives the answer: #x/4# - #x^3/12# + C.
Explanation:
#(1-x^2)/4# can be simplified #1/4-(x^2)/4#. Then integrating this gives: #int(1/4- (x^2)/4)dx#. Then we integrate the two terms to get #x/4# - #x^3/12# + C.