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Simplification During Integration

In performing a definite or indefinite integral, Mathematica performs
transformations on parameters which are not dependent upon the variable
of integration. How do I supress this type of behavior ?

Example: Consider the two term expression 

  y=Tan[g]^2 Sin[g]^3 Cos[t]^2 + Tan[g]^3 Sin[g]^2 Sin[t]^2

Integrate[y,{t,0,a}] results in an expression in which the 
trigonometric functions of g have been transformed. I would
expect Mathematica to recognize that these factors are independent of t
and simply "pull them out" from the integral. Integrating either of the
terms separately, does not result in these type of transformations.

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