The integration expression is
.

Consider the function
.
Let (x2 + 2x - 2) = t2 ---> (2x + 2)dx = 2t dt ---> (x + 1)dx = t dt.
\
.
Consider the function
.
Write the quadratic expression in the complete square form.
\= x2.+ 2x - 2
\=(x + 1)2 - 1 - 2
\=(x + 1)2 - 3
\