You did everything spot on.
so im doing this definite integral of trigonometric function
integrate (2t + cost)dt from the interval -Pi/2 to Pi/2
this is what i got so far and Im not sure how to simplify
= [(Pi/2)^2 + sin(Pi/2) - (-Pi/2)^2 + sin(-Pi/2)]
= [(Pi^2/4) + 1) - (Pi/4) + (-1)]
= [(Pi/4) + 1) - (Pi/4) - (1)]
Did i do it right??