Topics › Calculus › Definite Integrals — Evaluate Using the Fundamental Theorem

Calculus · INT

Definite Integrals — Evaluate Using the Fundamental Theorem

∫[a,b] f(x) dx = F(b) − F(a), where F is any antiderivative of f.

CalculusCommon Core FUN-6.CINTVerified correct ✓

Worked examples

Evaluate ∫[-2,2] (1 - 4*x) dx.
Answer: 4

Evaluate ∫[-2,2] (x) dx.
Answer: 0

Every problem on Pounce is generated and checked by code — never a wrong answer key.

Master Definite Integrals — Evaluate Using the Fundamental Theorem

Code-verified problems at exactly the right level, explained the way your kid learns.

Start your free trial 🐾

Build up to this

Antiderivatives — Power Rule in Reverse Riemann Sums — Approximate Area Under a Curve

More Calculus topics

Evaluate Limits Algebraically — Substitution and Factoring Evaluate Trigonometric Limits — sin(x)/x as x→0 Limits at Infinity — End Behavior of Rational Functions Test Continuity at a Point — Three-Part Definition Derivative from the Limit Definition Power Rule — Differentiate Polynomial Functions Product Rule — Differentiate a Product of Two Functions Chain Rule — Differentiate Composite Functions