Topics › Calculus › Area Between Two Curves Using Definite Integrals
Calculus · FUN

Area Between Two Curves Using Definite Integrals

Area = ∫[a,b] [top(x) − bottom(x)] dx. Find intersection points to determine the limits.

CalculusCommon Core CHA-5.AFUNVerified correct ✓

Worked examples

Find the area enclosed between f(x) = x + 5 and g(x) = x². (Hint: find intersection points first.) Round to 4 decimal places.
Answer: 16.039
Find the area enclosed between f(x) = x + 5 and g(x) = x². (Hint: find intersection points first.) Round to 4 decimal places.
Answer: 16.039

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

Master Area Between Two Curves Using Definite Integrals

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

Start your free trial 🐾

Build up to this

Definite Integrals — Evaluate Using the Fundamental Theorem

More Calculus topics

Evaluate Limits Algebraically — Substitution and FactoringEvaluate Trigonometric Limits — sin(x)/x as x→0Limits at Infinity — End Behavior of Rational FunctionsTest Continuity at a Point — Three-Part DefinitionDerivative from the Limit DefinitionPower Rule — Differentiate Polynomial FunctionsProduct Rule — Differentiate a Product of Two FunctionsChain Rule — Differentiate Composite Functions