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.