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KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2003-MATHEMATICS
- Prove that int(0)^(a) f(x) dx = int(0)^(a) f(a - x)dx and hence evalua...
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- int(0)^(2pi)(sinx+|sinx|)dx=
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- If n in N and I(n) = int (log x)^(n) dx , then I(n) + n I(n - 1) =
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- The area included between the parabolas x^(2)=4y and y^(2)=4x is, (in ...
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- The differential equation for which sin^(-1)x+sin^(-1)y=C is given by
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- The derivative of cos^(-1)((1-x^(2))/(1+x^(2))) w.r.t. cot^(-1)((1-3x^...
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- If x=a(theta-sintheta),y=a(1-costheta) then (dy)/(dx)=
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- If y=1-x+(x^(2))/(2!)-(x^(3))/(3!)+(x^(4))/(4!)- . . . . then (d^(2)y)...
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- The slope of the tangent to the curve x=3t^(2)+1,y=t^(3)-1 at x=1 is
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- For the curve xy=c^(2) the subnormal at any point varies as
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- The amplitude of "sin"(pi)/(5)+i(1-"cos"(pi)/(5)) is
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- If sqrtx+(1)/(sqrt(x))=2costheta then x^(6)+x^(-6)=
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- Which of the following is a fourth root of (1)/(2)+i(sqrt(3))/(2) ?
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- The function f(x)=|x|+(|x|)/(x) is
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- If f(a)=2,f'(a)=1,g(a)=-3,g'(a)=-1 then Lim(xtoa)(f(a)g(x)-f(x)g(a))/(...
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- The maximum of 4sin^(2)x+3cos^(2)x is
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- The rate of change of the surface area of a sphere of radius r when th...
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- intsqrt(1+"sin"(x)/(4))dx=
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- inte^(x)((1+sinx)/(1+cosx))dx=
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- int(0)^(oo)(xdx)/((1+x)(1+x^(2)))=
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