Mathematics → Subject Test → Fundamental Theorem of Calculus Part-I

**The First Fundamental Theorem of Calculus.**

**Definition**

If f is continuous on [a,b] and if F is an antiderivative of f on [a,b], then

**RELATED QUESTIONS**

**Q.** Evaluate:

**Solution**

**Answer**

Similarly, consider the following more general problem, which is also important for GRE Mathematics.

**Q.** If f is continuous on [5,2] and if F is an antiderivative of f on [5,2], where

**Solution**

As we know from The First Fundamental Theorem of Calculus that

and here, just a = 2 and b = 5, so we have

Answer.