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ARIHANT MATHS-DEFINITE INTEGRAL-Exercise (Single Option Correct Type Questions)
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- Let f be a positive function. If I1 = int(1-k)^k x f[x(1-x)]\ dx and I...
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- lim(x rarr infty) (x^(3) int(-1//x)^(1//x)("In" (1+t^(2)))/(1+e^(t)) d...
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- The value of sqrt(pi(int(0)^(2008)x| sinpi x| dx)) is equal to
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- lim(n rarr infty) sum(k=1)^(n) (n)/(n^(2)+k^(2)x^(2)),x gt 0 is equa...
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- Let a gt 0 and f(x) is monotonic increase such that f(0)=0 and f(a)=b...
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- int(-1/sqrt3)^(-1/sqrt3)(x^4)/(1-x^4)cos^(- 1)((2x)/(1+x^2))dx
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- int(0)^(infty)f(x+(1)/(x)). (In x )/(x)dx is equal to
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- lim(lamda to 0)(int(0)^(1) (1+x)^(lambda ) dx)^(1//lambda) Is equal t...
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- If g(x) is the inverse of f(x) and f(x) has domain x in [1,5], where...
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- The value of the definite integral int(0)^(pi//2)sin x sin 2x sin 3x d...
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- If f(x)= int(0)^(x)(f(t))^(2) dt, f:R rarr R be differentiable functi...
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- The number of integral solutions of the equation 4int (0)^( infty)(In"...
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- int(0)^(16n^(2)//pi) "cos" (pi)/(2)[(xpi)/(n)] dx is equal to
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- If int-2^-1 (ax^2-5)dx=0 and 5 + int1^2 (bx + c) dx = 0, then
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- The value of int(3)^(6)(sqrt(x+sqrt(12x-36))+sqrt(x-sqrt(12x- 36)))dx...
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- Let In=int(-n)^n({x+1}*{x^2+2}+{x^2+2}{x^3+4})dx, where {*} denotet th...
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