# Exercise Solution 5.3

- The integral is solved analytically as
[s1]

- Given change of variables
[s2]

the inverse is

[s3]

so the new bounds of integration are

*g*^{–1}(1) = 1 and*g*^{–1}(–1) = 0. By [2.166], change of variables [s2] converts integral [5.40] to[s4]

c,d. See spreadsheet for solutions to parts (c) and (d).