297,279 views
27 votes
27 votes
Evaluate the indefinite integral. ſt-513dt 125t + c o -50% - 70,2 - 1250+ c O 312 - 30t + 75 +6 04 - 157° + 75t? - 125+ + C

User Jpalumickas
by
2.1k points

1 Answer

14 votes
14 votes

The initial expression is:


\int (t-5)^3\text{ dt}

First we can expant cube so:


\int t^3-15t^2+75t-125

and now we can integrate so:


(t^4)/(4)-5t^3+(75t^2)/(2)-125t+C

So is option B

User Saminda Peramuna
by
2.7k points