Let f : [1, ∞) → R be a differentiable function. If 6 ∫₁ˣ f(t)dt = 3xf(x) + x³ – 4 for all x ≥ 1, then the value of f(2) – f(3) is
Let f : [1, ∞) → R be a differentiable function. If 6 ∫₁ˣ f(t)dt = 3xf(x) + x³ – […]
Let f : [1, ∞) → R be a differentiable function. If 6 ∫₁ˣ f(t)dt = 3xf(x) + x³ – […]
If A = [[2, 3], [3, 5]], then the determinant of the matrix (A^2025 – 3A^2024 + A^2023) is |
Number of distinct real solutions of x|x + 4| + 3|x + 2| + 10 = 0 | JEE Main
If the domain of the function f(x) = sin⁻¹((5-x)/(3+2x)) + 1/logₑ(10-x) is (-∞, α] ∪ [β, γ) – {δ}, then
Let f(x) = x^2025 – x^2000, x ∈ [0,1] and the minimum value of the function f(x) in the interval
If a random variable x has the probability distribution then P(3 < x ≤ 6) is equal to | JEE
Let the line x = -1 divide the area of the region {(x,y): 1 + x² ≤ y ≤ 3
The number of solutions of tan⁻¹4x + tan⁻¹6x = π/6, where -1/(2√6) < x < 1/(2√6), is equal to |
If the image of the point P(1, 2, a) in the line (x-6)/3 = (y-7)/2 = (7-z)/2 is Q(5, b,
Let the set of all values of r for which circles (x+1)² + (y+4)² = r² and x² + y²