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(lim)(n to oo)n/(2^n)int0^2x^n dx equals...

`(lim)_(n to oo)n/(2^n)int_0^2x^n dx` equals___

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  2. Let f be a non-negative function defined on the interval [0,1]. If int...

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  3. (lim)(n to oo)n/(2^n)int0^2x^n dx equals

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  4. Let f:[0,oo) to R be a continuous strictly increasing function, such t...

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  5. A continuous real function f satisfies f(2x)=3(f(x)AAx in RdotIfint0...

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  6. L e tf(x)=x^3-(3x^2)/2+x+1/4 Then the value of (int(1/4)^(3/4)f(f(x...

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  7. Consider the polynomial f(x)=a x^2+b x+cdot If f(0)=0,f(2)=2, then the...

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  8. Column I, Column II If f(x) is an integrable function for x in [pi/...

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  10. The value of the definite integral, int0^(pi/2) (sin5x)/sinx dx is

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  11. The value of int0^pi (sin(n+1/2)x)/(sin (x/2)) dx is, (a) n in I, n >...

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  12. IfI(m , n)=int0^1x^(m-1)(1-x)^(n-1)dx ,(m , n in I ,m ,ngeq0),t h e n...

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  13. If In=int0^(sqrt(3))(dx)/(1+x^n),(n=1,2,3. .), then find the value of ...

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  14. int0^1(tan^(-1)x)/x dx is equals to (a) int0^(pi/2)(sinx)/x dx (b)...

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  15. If int0^1(sint)/(1+t)dt=alpha, then the value of the integral int(4pi-...

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  16. L e tI1=int0^1(e^xdx)/(1+x) a n dI2=int0^1(x^2dx)/(e^(x^3)(2-x^3))dot ...

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  17. int(sintheta)^(costheta)f(xtantheta)dx(w h e r etheta!=(npi)/2,n in I...

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  18. Let g(x)=int0^x f(t).dt,where f is such that 1/2<=f(t)<=1 for t in [0,...

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  19. The value of int0^(pi/2) sin|2x-alpha|dx, where alpha in [0,pi], is (...

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  20. IfIn=int0^pie^x(sin"x")^("n")dx ,t h e n(I3)/(I1)"is equal to" 3/5 ...

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