calculus/activities/04-integrals-test.md
2026-01-01 00:00:00 +00:00

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---
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