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VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -JEE Advanced (Archive)
- about to only mathematics
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- Show that int0^(npi+v)|sinx|dx=2n+1-cosv , where n is a positive integ...
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- Given a function f(x) such that It is integrable over every interval o...
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- For any real number x ,l e t[x] denote the largest integer less than o...
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- Let f:[0,2]vecR be a function which is continuous on [0,2] and is diff...
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- Let f be a non-negative function defined on the interval [0,1]. If int...
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- f(x)=int0^x f(t) dt=x+intx^1 tf(t)dt, then the value of f(1) is
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- Let f : R to R be a differentiable function and f(1) = 4. Then, the va...
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- Consider the statements : P : There exists some x IR such that f(x)...
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- Let f (x)= int (x^(2))^(x ^(3))(dt)/(ln t) for x gt 1 and g (x) = in...
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- Let f(x)=|secxcosx s e c^2x+cotx cos e c\ x cos^2x cos^2x cos e c^2x1c...
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- For x >0,l e tf(x)=int1^x((log)e t)/(1+t)dtdot Find the function...
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- Let a+b=4,w h e r ea<2,a n dl e tg(x) be a differentiable function. If...
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- Determine a positive integer nlt=5 such that int0^1e^x(x-1)^n=16-6e
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- about to only mathematics
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- Investigate for the maxima and minima of the function f(x)=int1^x[2(t...
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- For a epsilonR (the set of all real numbers) a!=-1, lim(n to oo) ((1^(...
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- Let S(n)=underset(k=1)overset(n)sum (n)/(n^(2)+nk+k^(2)) and T(n)=unde...
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- Show that ("lim")(n vec oo)(1/(n+1)+1/(n+2)++1/(6n))=log6
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- about to only mathematics
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