calculus

what is the antiderivaive of (2t*tan t/2) * sec^2 *t/2 dt from -pi/2 to pi/2

The blue * does not belong there
also I am wondering if this should be

what is the antiderivaive of

2t * tan( t ²/2) * sec ²(t ²/2)) from -pi/2 to pi/2 with respect to t