[BUG] Int[Sqrt[(4+x)/(4-x)], {x, 0, 4}] returns wrong result

[tranleduy2000]

Input:

Int[ Sqrt((4+x)/(4-x)), {x, 0, 4}] // N

Expected result:

[axkr]

the Limit calculation is wrong for x->4:

[axkr]

As a workaround you can use function NIntegrate, which doesn't calculate an intermediate "symbolic result".

• https://github.com/axkr/symja_android_library/blob/master/symja_android_library/doc/functions/NIntegrate.md

NIntegrate[ Sqrt[(4+x)/(4-x)], {x, 0, 4}] 

[axkr]

ArcTan limit for the argument Sqrt((4+x)/(4-x)) must be calculated "from above 4" and "from below 4"