What is the difficulty level of Definite Integrals questions in AIEEE?

AIEEE Definite Integrals questions include 0 easy, 10 medium, and 0 hard questions on ExamTest.live.

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Definite Integrals Aieee Questions — 10+ MCQs & PYQs | ExamTest.live

Q: How many Definite Integrals questions are asked in AIEEE?

ExamTest.live has 10 Definite Integrals questions from AIEEE, covering years 2026–2026.

Definite Integrals — AIEEE(1–10 of 10)

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Q1mediummcqMathematicsAIEEE2026

The limit lim_{n \to \infty} \frac{1}{n} [sec^{2} \frac{1}{n ^{2}} + sec^{2} \frac{4}{n ^{2}} + \dots + sec^{2} 1] equals:

Q2mediummcqMathematicsAIEEE2026

If I_{1} = \int_{0}^{1} 2^{x^{2}} d x, I_{2} = \int_{0}^{1} 2^{x^{3}} d x, I_{3} = \int_{1}^{2} 2^{x^{2}} d x and I_{4} = \int_{1}^{2} 2^{x^{3}} d x, then:

Q3mediummcqMathematicsAIEEE2026

Let f : R \to R be a differentiable function having f (2) = 6, f^{'} (2) = \frac{1}{48} . Then lim_{x \to 2} \frac{\int _{6}^{f (x)} 4 t ^{3} d t}{x - 2} equals:

Q4mediummcqMathematicsAIEEE2026

Let f (x) be a non-negative continuous function such that the area bounded by the curve y = f (x), x-axis and the ordinates x = π /4 and x = β > π /4 is β sin β + \frac{π}{4} cos β + 2 β . Then f (π /2) is:

Q5mediummcqMathematicsAIEEE2026

The value of \int_{- π}^{π} \frac{2 x ( 1 + s i n x )}{1 + c o s ^{2} x} d x is:

Q6mediummcqMathematicsAIEEE2026

Let I = \int_{0}^{1} \frac{s i n x}{x} d x and J = \int_{0}^{1} \frac{c o s x}{x} d x . Then which one of the following is true?

Q7mediummcqMathematicsAIEEE2026

The area of the plane region bounded by the curves x + 2 y^{2} = 0 and x + 3 y^{2} = 1 is equal to:

Q8mediummcqMathematicsAIEEE2026

The area bounded by the curves y = cos x and y = sin x between the ordinates x = 0 and x = \frac{3 π}{2} is:

Q9mediummcqMathematicsAIEEE2026

Let p (x) be a function defined on R such that p^{'} (x) = p^{'} (1 - x), for all x \in [0, 1], p (0) = 1 and p (1) = 41 . Then \int_{0}^{1} p (x) d x equals:

Q10mediummcqMathematicsAIEEE 20122026

If g (x) = \int_{0}^{x} cos^{4} t d t, then g (x + π) equals:

AIEEE Definite Integrals — FAQ

How many Definite Integrals questions come in AIEEE?▼

Our database has 10 Definite Integrals questions from AIEEE covering 2026 to 2026.

What difficulty are AIEEE Definite Integrals questions?▼

The 10 AIEEE Definite Integrals questions include 0 easy, 10 medium and 0 hard level questions.

Where can I find more Definite Integrals questions for other exams?▼

Visit /tag/definite-integrals to see all Definite Integrals questions across all exams including Mathematics Mock Test - 5, Mathematics Mock Test - 9, Mathematics Mock Test - 11.

Definite Integrals Questions

Definite Integrals — AIEEE(1–10 of 10)

AIEEE Definite Integrals — FAQ