### 2.19.2 Integral and limit

Just two examples :

- Find the limit, when a approachs +∞, of :

  ∫ |
  a
  2
  1
  x2
  | dx

  Input :
  `limit(integrate(1/(x```^```2),x,2,a),a,+(infinity))`
  Output (if `a` is not formal then input `purge(a)`) :
  `1/2`
- Find the limit, when a approachs +∞, of :

  ∫ |
  a
  2
  | ( |
  x
  x2−1
  | +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 not formal then input `purge(a)`) :
  `+(infinity)`