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Calculus Mathematics Mock Test 3 Questions — 17+ MCQs & PYQs | ExamTest.live

ExamTest.live has 17 Calculus questions from Mathematics Mock Test - 3, covering years 2026–2026.

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Q1mediummcqMathematicsMathematics Mock Test - 32026

Find the area of the parabola y^{2} = 4 a x bounded by its latus rectum.

Q2mediummcqMathematicsMathematics Mock Test - 32026

If the curve y = a x^{2} + b x + c passes through (1, 2) and the tangent to this curve at the origin is y = x, then the possible values of a, b, c are:

Q3mediummcqMathematicsMathematics Mock Test - 32026

If c is a point at which Rolle's theorem holds for the function f (x) = lo g_{e} (\frac{x ^{2} + α}{7 x}) in the interval [3, 4], then the value of c is:

Q4mediummcqMathematicsMathematics Mock Test - 32026

If I_{1} = \int \frac{e ^{x}}{e ^{x} + e ^{- x}} d x and I_{2} = \int \frac{d x}{e ^{2 x} + 1}, then what is I_{1} + I_{2} equal to?

Q5mediummcqMathematicsMathematics Mock Test - 32026

What is the area bounded by the curves ∣ y ∣ = 1 - x^{2} ?

Q6mediummcqMathematicsMathematics Mock Test - 32026

Find lim_{n \to \infty} (\frac{1}{n} + \frac{1}{n + 1} + \frac{1}{n + 2} + \dots + \frac{1}{3 n})

Q7mediummcqMathematicsMathematics Mock Test - 32026

For a point of inflection of y = f (x), which one of the following is correct?

Q8mediummcqMathematicsMathematics Mock Test - 32026

If x is a real number, the function f (x) = x^{3} + x^{2} + x + 1 has:

Q9mediummcqMathematicsMathematics Mock Test - 32026

The function f (x) = 8 lo g_{e} x - x^{2} + 3 attains its global minimum over the interval [1, e] at x = \dots

Q10mediummcqMathematicsMathematics Mock Test - 32026

Find the absolute minimum value of the function y = 3 x^{2} - 4 in the interval [- 1, 5] .

Q11mediummcqMathematicsMathematics Mock Test - 32026

The function y = f (x) has relative minima where:

Q12mediummcqMathematicsMathematics Mock Test - 32026

The value of \int_{- 1}^{3} [tan^{- 1} (\frac{x}{x ^{2} + 1}) + tan^{- 1} (\frac{x ^{2} + 1}{x})] d x is:

Q13mediummcqMathematicsMathematics Mock Test - 32026

Let f (x) = {3 x - 4, 2 x + l, 0 \leq x \leq 2 2 < x \leq 3 . If f is continuous at x = 2, then what is the value of l ?

Q14mediummcqMathematicsMathematics Mock Test - 32026

If f (x) = 2 ln (e^{x /2}), what is the area bounded by f (x) for the interval [0, 2] on the x-axis?

Q15mediummcqMathematicsMathematics Mock Test - 32026

What is the area under the curve f (x) = x e^{x} above the x-axis and between x = 0 and x = 1 ?

Q16mediummcqMathematicsMathematics Mock Test - 32026

The number that exceeds its square by the greatest amount is:

Q17mediummcqMathematicsMathematics Mock Test - 32026

The solution of \int \frac{l o g x}{x ^{2}} d x is:

How many Calculus questions come in Mathematics Mock Test - 3?▼

Our database has 17 Calculus questions from Mathematics Mock Test - 3 covering 2026 to 2026.

What difficulty are Mathematics Mock Test - 3 Calculus questions?▼

The 17 Mathematics Mock Test - 3 Calculus questions include 0 easy, 17 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.