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VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -JEE Advanced (Archive)
- Evaluate: int2^3(2x^5+x^4-2x^3+2x^2+1)/((x^2+1)(x^4-1))dx
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- A cubic function f(x) vanishes at x=-2 and has relative minimum/maximu...
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- Evaluate: int0^pi(xsin2xsin(pi/2cosx)/(2x-pi)dx
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- Prove that for any positive integer k ,(sin2k x)/(sinx)=2[cosx+cos3x+...
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- If fa n dg are continuous function on [0,a] satisfying f(x)=f(a-x)a n ...
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- The value of the integral overset(2a)underset(0)int (f(x))/(f(x)+f(2a-...
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- int0^1log(sqrt(1-x)+sqrt(1+x))dx equals:
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- Evaluate int(0)^(pi)(x dx)/(1+cos alpha sin x),where 0lt alpha lt pi.
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- Evaluate : int0^(pi/2)(xsinxcosx)/(sin^4x+cos^4x)\ dx
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- Evaluate: int0^(1/2)(xsin^(-1)x)/(sqrt(1-x^2))dx
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- int(0)^(pi//4)(sin x + cos x)/(9+16 sin 2 x )
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- Show that int(0)^(pi)xf(sinx)dx=(pi)/2 int(0)^(pi)"fr"(sinx)dx.
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- Find the value of int(-1)^(3/2)|xsinpix|dx
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- Evaluate int(0)^(1)(tx+1-x)^(n)dx, where n is a positive integer a...
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- The value of int0^1 4x^3{(d^2)/(dx^2)(1-x^2)^5}dx is
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- 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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