- > Long lines aren't broken.
-
- FriCAS don't have support for automatically breaking long equations, and
- I doubt other CASs can. That means, if a result looks messy in terminal,
- it will be messy in other output backends.
-
- For this particular integration, complexIntegration gives a cleaner
result:
-
- (1) -> complexIntegrate(sqrt(x^2+1)/(x^4+1), x)
(1)
┌──────────┐ ┌──────────┐ ┌──────┐
│ ┌───┐ │ ┌───┐ │ 2 ┌───┐ 2
- \│\│- 1 - 1 log(2\│\│- 1 - 1 - 2x\│x + 1 - 2\│- 1 + 2x )
+
┌────────────┐ ┌──────┐ ┌────────────┐
│ ┌───┐ │ 2 │ ┌───┐ ┌───┐ 2
- \│- \│- 1 - 1 log(- 2x\│x + 1 + 2\│- \│- 1 - 1 + 2\│- 1 + 2x
)
+
┌────────────┐ ┌──────┐ ┌────────────┐
│ ┌───┐ │ 2 │ ┌───┐ ┌───┐ 2
\│- \│- 1 - 1 log(- 2x\│x + 1 - 2\│- \│- 1 - 1 + 2\│- 1 + 2x )
+
┌──────────┐ ┌──────────┐ ┌──────┐
│ ┌───┐ │ ┌───┐ │ 2 ┌───┐ 2
\│\│- 1 - 1 log(- 2\│\│- 1 - 1 - 2x\│x + 1 - 2\│- 1 + 2x )
/
4
-
- which is similar to mma's output:
- 3/2 3/2
(1 - I) x (1 + I) x
ArcTan[--------------------] ArcTan[--------------------]
2 2
Sqrt[2] Sqrt[1 + x ] Sqrt[2] Sqrt[1 + x ]
---------------------------- + ----------------------------
Sqrt[2 - 2 I] Sqrt[2 + 2 I]
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