What is the difficulty level of Calculus questions in AIEEE-CBSE-ENG-03?

AIEEE-CBSE-ENG-03 Calculus questions include 0 easy, 15 medium, and 0 hard questions on ExamTest.live.

Are AIEEE-CBSE-ENG-03 Calculus questions free?

Yes, all questions including answers and detailed explanations are 100% free on ExamTest.live.

ExamTest.live has 15 Calculus questions from AIEEE-CBSE-ENG-03, covering years 2026–2026.

Filter:

Q1mediummcqMathematicsAIEEE-CBSE-ENG-032026

The real number x when added to its inverse gives the minimum value of the sum at x equal to:

Q2mediummcqMathematicsAIEEE-CBSE-ENG-032026

If f (x) = x^{n}, then the value of f (1) - \frac{f ^{'} ( 1 )}{1 !} + \frac{f ^{''} ( 1 )}{2 !} - \frac{f ^{'''} ( 1 )}{3 !} + \dots + (- 1)^{n} \frac{f ^{n} ( 1 )}{n !} is:

Q3mediummcqMathematicsAIEEE-CBSE-ENG-032026

lim_{x \to π} \frac{t a n [ 1 - s i n ( x /2 )]}{[ π - 2 x ] ^{2}} is:

Q4mediummcqMathematicsAIEEE-CBSE-ENG-032026

If lim_{x \to 0} \frac{l o g ( 3 + x ) - l o g ( 3 - x )}{x} = k, the value of k is:

Q5mediummcqMathematicsAIEEE-CBSE-ENG-032026

Let f (a) = g (a) = k and their n th derivatives f^{n} (a), g^{n} (a) exist and are not equal for some n . Further if lim_{x \to a} \frac{f ( a ) g ( x ) - f ( a ) g ( a ) - g ( a ) f ( x ) + g ( a ) f ( a )}{f ( x ) - g ( x )} = 4, then the value of k is:

Q6mediummcqMathematicsAIEEE-CBSE-ENG-032026

If f (x) = {x e^{- (\frac{1}{∣ x ∣} + \frac{1}{x})}, 0, x \neq = 0 x = 0 then f (x) is:

Q7mediummcqMathematicsAIEEE-CBSE-ENG-032026

If the function f (x) = 2 x^{3} - 9 a x^{2} + 12 a^{2} x + 1, where a > 0, attains its maximum and minimum at p and q respectively such that p^{2} = q, then a equals:

Q8mediummcqMathematicsAIEEE-CBSE-ENG-032026

If f (y) = e^{y}, g (y) = y for y > 0 and F (t) = \int_{0}^{t} f (t - y) g (y) d y, then:

Q9mediummcqMathematicsAIEEE-CBSE-ENG-032026

If f (a + b - x) = f (x), then \int_{a}^{b} x f (x) d x is equal to:

Q10mediummcqMathematicsAIEEE-CBSE-ENG-032026

The value of lim_{x \to 0} \frac{\int _{0}^{x^{2}} s e c ^{2} t d t}{x s i n x} is:

Q11mediummcqMathematicsAIEEE-CBSE-ENG-032026

The value of the integral I = \int_{0}^{1} x (1 - x)^{n} d x is:

Q12mediummcqMathematicsAIEEE-CBSE-ENG-032026

lim_{n \to \infty} [\frac{1 ^{3} + 2 ^{3} + 3 ^{3} + \dots + n ^{3}}{n ^{4}}] - lim_{n \to \infty} [\frac{1 ^{4} + 2 ^{4} + 3 ^{4} + \dots + n ^{4}}{n ^{5}}] is:

Q13mediummcqMathematicsAIEEE-CBSE-ENG-032026

Let \frac{d}{d x} F (x) = \frac{e ^{s i n x}}{x}, x > 0 . If \int_{1}^{4} \frac{3 e ^{s i n x^{3}}}{x} d x = F (k) - F (1), then one of the possible values of k, is:

Q14mediummcqMathematicsAIEEE-CBSE-ENG-032026

The area of the region bounded by the curves y = ∣ x - 1∣ and y = 3 - ∣ x ∣ is:

Q15mediummcqMathematicsAIEEE-CBSE-ENG-032026

Let f (x) be a function satisfying f^{'} (x) = f (x) with f (0) = 1 and g (x) be a function that satisfies f (x) + g (x) = x^{2} . Then the value of the integral \int_{0}^{1} f (x) g (x) d x, is:

How many Calculus questions come in AIEEE-CBSE-ENG-03?▼

Our database has 15 Calculus questions from AIEEE-CBSE-ENG-03 covering 2026 to 2026.

What difficulty are AIEEE-CBSE-ENG-03 Calculus questions?▼

The 15 AIEEE-CBSE-ENG-03 Calculus questions include 0 easy, 15 medium and 0 hard level questions.

Where can I find more Calculus questions for other exams?▼

Visit /tag/calculus to see all Calculus questions across all exams including AIEEE, Mathematics Mock Test - 10, Mathematics Mock Test - 5.