I am new to this forum..so hello everyone! I am a student at UCD and sadly they make me take Calculus, even though I am a Political Science major...So please help me, I do not know if I did this right....

Find the Integral

(x + cos x) sin xdx the intervals are 0 and pi/2

My answer: [(sin x )^2]/2 + C...which is then .5-0 and then .5

Is this right?

Thank you so much!