if v=15+2t^2, find the distance travelled from t=1 to t=2

Question

im in college business math 2 and my professor doesnt use books so this can be one of the integrating formulas

 

Answer 1

Find the integral of v.  The integral is the same as anti-derivative.  That is

 

F(x) = ∫v = ∫(15 + 2t²)dt

 

 

Then evaluate        F(2) - F(1)