The Fundamental Theorem of Calculus

The Fundamental Theorem of Calculus connects derivatives and integrals.

How the Idea Works

The theorem shows that derivatives and integrals are opposite but connected ideas. It helps turn area problems into function problems.

Why It Helps

It is one of the most important discoveries in calculus. The theorem explains why calculus is such a powerful tool.

Fun Facts

• The theorem shows that derivatives and integrals are opposite but connected ideas.
• It helps turn area problems into function problems.
• It is one of the most important discoveries in calculus.
• The theorem explains why calculus is such a powerful tool.

Did You Know?

The Fundamental Theorem of Calculus may sound advanced, but it is built from smaller ideas like patterns, slopes, totals, and careful reasoning.