The integral is
.
Assume
.
Differentiate on each side with respect to
.

.
If
, then
.
If
, then
.
Substitute
,
and change of the limits.

.
Part 2 of the fundamental theorem of calculus :
\If
is continuous on
,
.
Where
is any anti derivative of
, that is a function such that
.
Anti derivative of the function
is
.

.
.
.