I am not sure how to Integrate this type of problems--

integral squareroot(t^2+t) dt

and integral (5t^2-6)dt

Attempts:

integral sqareroot(t^2+t) dt= 2/3 ((t^2+t) ^(3/2) (2t+1)

And solve the other one same way.

Is that right?

(I am not sure if I differentiate the middle portion when integrating)