True or false. If true, why? If false, what is a counter example, and can you explain why it contradicts? Please

Question

If F(x)= (upper: x, lower: 0) ∫√(t³+1)dt  then  F'(2)=3

Answer 1

TRUE:

 

By the Fundamental Theorem of Calculus, if F(x) = ∫√(t³+1)dt from       t = 0 to t = x then F'(x) = √(x³+1).  So, F'(2) = √(2³+1) = √9 = 3.