## Section 5.3 - The Fundamental Theorem of Calculus

Section Details:
• The Fundamental Theorem of Calculus
• Using Part 1 of the Fundamental Theorem to find derivatives of functions with integrals
• Using Part 2 of the Fundamental Theorem to evaluate definite integrals
• Solving applications of definite integrals including displacement and areas under a curve

## Fundamental Theorem of Calculus: MATH 171 Problems 1-3

Proving and then applying the Fundamental Theorem of Calculus

## Riemann Sums and Definite Integrals: MATH 151 Problems 6-12

Using Reimann sums and the Fundamental Theorem of Calculus