Definite Integrals
Maths · Grade 12 · Week 22 · 25 questions
This quiz focuses on Definite Integrals — an important area in Grade 12 mathematics. A strong foundation in definite integrals is critical for board exam success and prepares you for undergraduate mathematics and data science.
What you'll practise
- Understand the key ideas of Definite Integrals
- Practise exam-style questions on Definite Integrals
- Build confidence with NCERT exercise and exemplar problems
All 25 questions in this Definite Integrals quiz
Grade 12 Maths — Definite Integrals: 25 practice questions with instant scoring and explanations.
- The Fundamental Theorem of Calculus states:
- ∫[0,1] x² dx equals:
- ∫[0,π] sin(x) dx equals:
- ∫[1,e] (1/x) dx equals:
- ∫[a,b] f(x) dx = −∫[b,a] f(x) dx is:
- ∫[a,a] f(x) dx equals:
- ∫[0,2] (3x + 1) dx equals:
- For a ≤ c ≤ b: ∫[a,b] f(x) dx = ∫[a,c] f(x) dx + ∫[c,b] f(x) dx is:
- ∫[−1,1] x³ dx equals:
- If f is odd, then ∫[−a,a] f(x) dx equals:
- If f is even, then ∫[−a,a] f(x) dx equals:
- ∫[0,π/2] cos(x) dx equals:
- ∫[1,2] e^x dx equals:
- ∫[0,1] (1 + 2x + 3x²) dx equals:
- ∫[−2,2] |x| dx equals:
- The Mean Value Theorem for Integrals states that there exists c ∈ [a,b] such that:
- ∫[0,4] √x dx equals:
- ∫[−π/2,π/2] sin(x) dx equals:
- If ∫[a,b] f(x) dx ≥ 0, then:
- ∫[0,1] (e^x − 1) dx equals:
- For continuous f: d/dx[∫[a,x] f(t) dt] equals:
- ∫[0,π] sin²(x) dx equals:
- ∫₀¹ x² dx:
- ∫₀^π/2 sin x dx:
- ∫₋ₐ^ₐ x³ dx (odd function) equals:
Question 1 of 250 correct so far