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CHHAYA PUBLICATION-QUESTION PAPER 2017-UNIT-3
- Cosider the non-constant differentiable function f of one variable wh...
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- Let F(x)=e^x,G(x)=e^(-x) " and " H(x)=G(F(x)), where x is a real varia...
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- If f''(0)=k,kne0, then the value of lim(xto0)(2f(x)-3f(2x)+f(4x))/(x^...
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- If y=e^(msin^-1x)(-1lexle1), Prove that, (1-x^2)(d^2y)/(dx^2)-xdy/dx...
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- The chord of the curve y=x^2+2ax+b, joining the points where x=alpha "...
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- Let f(x)={{:((x^p)/((sinx)q')),(0):}" if " 0ltxle(pi)/(2),(p,qinR) if ...
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- lim(xto0)(sinx)^(2tanx)=
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- intcos(logx)dx=F(x)+c, where c is an arbitaray constant. Here F(x)=
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- Let I=int(10)^(19)(sinx)/(1+x^8)dx. Then,
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- Let I1=int0^n[x]dx" and I2=int0^n{x}dx, where [x] and {x} are integral...
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- Evalute : lim(ntooo)[(n)/(n^2+1^2)+(n)/(n^2+2^2)+........+(1)/(2n)].
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- The value of the integral int0^1e^(x^2)dx
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- int0^(100)e^(x-[x])dx=
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- Solution of (x+y)^2(dy)/(dx)=a^2 ('a' being a constant ) is
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- The integrating factor of the first order differential equation x^2(x^...
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- If f(x)=int(-1)^x |t|dt, then for any xge0,f(x) is equal to
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- Let for all xgt0,f(x)=lim(nto oo)n(x^((1)/(n))-1), then
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- Let I=int0^(100pi)sqrt(1-cos2x)dx, then
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- The area (sq. units) of the figure bounded by the parabolas x= -2y^2" ...
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