--- id: act-04-integrals-test title: "Test 02 — Integrals Quiz" mode: test open_at: "2026-02-12T00:00:00+01:00" close_at: "2026-12-31T23:59:59+01:00" retakes_enabled: true max_attempts: 5 grade_max: 100 time_limit_seconds: 1500 --- # Test 02 — Integrals Quiz ## T1 Type: mcq Points: 25 Prompt: A definite integral is best interpreted as: Refs: - mat-04-integrals#definite-integral Choices: - [x] Accumulated change / signed area under the curve - [ ] The slope of the tangent line - [ ] A function that undoes differentiation only in indefinite form ## T2 Type: short Points: 25 Prompt: Compute the integral from 0 to 1 of 2x dx. Refs: - mat-04-integrals#basic-integration-rules - mat-04-integrals#definite-integral Answer: 1 ## T3 Type: mcq Points: 25 Prompt: The fundamental theorem of calculus connects: Refs: - mat-04-integrals#fundamental-theorem-of-calculus Choices: - [ ] Limits and continuity - [x] Differentiation and integration - [ ] Optimization and related rates ## T4 Type: short Points: 25 Prompt: An antiderivative of 3x^2 is: Refs: - mat-04-integrals#antiderivative - mat-04-integrals#basic-integration-rules Answer: x^3