Posted by tom on Saturday, February 26, 2011 at 9:53pm.
INTEGRAL OF Y^2/(25+Y^2)

CALC  MathMate, Saturday, February 26, 2011 at 10:18pm
decompose y^2/(25+y^2) into
125/(25+y^2)
Each term is a standard integral.
The first term integrates to y.
The second term can be integrated into arcTan.
Post if you need further help.