Let I_n(x)=∫ limits0 x (1/(t^2+5)^n) dt, n=1,2,3.. THEN@Easymath4jee #definiteintegrationjeemainspyq
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If ∫_0^x f(t) dt = x^2 + ∫_x^1 t^2 f(t) dt, then the value of f'(1/2) is @Easymath4jee #iitjee2025
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A line ℓ passing through origin is perpendicular to line ℓ_1: r = (3+t)î + (-1 + 2t)ĵ + (4 + 2t) k̂
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Let P be an arbitrary point having sum of the squares of the distances from the planes x + y + z = 0
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Let a plane P contain two lines r = î + λ( î +ĵ ), λ∈ R and r= -ĵ + μ (ĵ - k̂ ), μ∈ R. If Q(α ,β ,γ)
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The term independent of x in the expansion of ((x + 1)/(x^2/3 - x^1/3 + 1) - (x - 1)/(x - x^1/2))^10
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If the foot of the perpendicular from point (4, 3,8) on the line L1: (x−a)/l = (y−2)/3 = (z−b)/4,
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Let Q be the mirror image of the point P(1, 2, 1)with respect to the plane x + 2y + 2z = 16. Let T
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