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A company has two plants A and B to manufacture motorcycles. 60% motorcycles are manufactured
Lim n tends to ♾️ [(1^2-1)(n-1)+(2^2-2)(n-2)+…+((n-1)^2-(n-1)).1]/[(1^3+2^3+…+n^3)-(1^2+2^2+…+n^2)]
The value of k€N for which integral In=Integral of (1-x^k)^n dx from 0 to 1, n € N, satisfies 147
Let y=y(x) be the solution of the differential equation (1+y^2)e^tan x dx + cos^2 x (1+e^2tan x)dy=0
The number of Integers, between 100 and 1000 having the sum of their digits equals to 14, is ____
Let the sum of two positive integers be 24. If the probability, that their product is not less
Let Integral of 2-tan x/3+tan x dx=1/2(ax+log |b sin x+ y cos x| )+C, where C is constant of Integra
Suppose for a differentiable function h, h(0)=0, h(1)=1 and h’(0)=h’(1)=2. If g(x)=h(e^x)e^(h(x))
Let P be a point on the ellipse x^2/9+y^2/4=1. Let the line passing through P and parallel to y-axis
For a,b greater than 0, let f(x) = tan((a+1)x)+b tan x /x, x less than 0
Let the maximum and minimum values of (sq.rt.(8x-x^2-12)-4)^2+(x-7)^2, x€R be M and m respectively.
Let Integral of dx/sq.rt.(e^x-1) from a to log4=pi/6. Then e^a and e^-a are the roots of equation
If for p and q not equal to 0, function f(x)={p(729+x)}^(1/7)-3/{729+qx}^1/3-9 is continuous at x=0
The Integral of 2x^3-1/x^4+x dx is equal to: (C-constant of Integration) | Integration| JEE Mains
If S = { x R:sin^-1(x+1/√x^2+2x+2)-sin^-1(x/√x^2+1)=pi/4}, then Summation of x belong to S
