Calculate the indefinite integral : (assume t > a and t > b. use c for the constant of integration.) t (t −a) (t − b. dt

So here's your problem: .  The easiest way to do this is to distribute that whole thing out by FOIL-ing to get .  Now the integration is straightforward. We are integrating with respect to t, so treat a and b like "regular" numbers.  Your integration, before simplifying, is .  Those 2 terms in the middle have the same denominator and power on the t, so we will combine those as like to get

It creates dogx^2 and then flip your answer and multiply by 2