Is My Calculation of the Antiderivative Correct?

[rowdy3]

Find the following.
∫ (56t^(5/2) + 18t^(7/2))dt.
I did
(2/7)56 t^(7/2) + (2/9)18t^(9/2) + c =
16t^(7/2) + 4t^(9/2) + c

 

[SammyS]

It looks good to me.

Check it by taking the derivative of 16t^(7/2) + 4t^(9/2) + C .