#### To determine

The statement is true or false.

#### Answer

True

#### Explanation

Recall theFundamental theorem of calculus 1

If f is a continuous function on a,b then the function g defined by gx=∫axftdt;

a≤x≤b is continuous on a,b and differentiable on a,b&g'x=fx

By using the Fundamental Theorem of calculus 1, the given statement is true,

**Conclusion:**

Therefore, the given statement is true.