5.19.2 Integral and limit
Just two examples :
Find the limit, when
a
approaches +∞, of :
∫
a
2
1
x
2
dx
Input :
limit(integrate(1/(x
^
2),x,2,a),a,+(infinity))
Output (if
a
is assigned then input
purge(a)
) :
1/2
Find the limit, when
a
approaches +∞, of :
∫
a
2
(
x
x
2
−1
+ln(
x
+1
x
−1
))
dx
Input :
limit(integrate(x/(x
^
2-1)+log((x+1)/(x-1)),x,2,a),
a,+(infinity))
Output (if
a
is assigned then input
purge(a)
) :
+(infinity)