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Let f:[0,oo) to R be a continuous strict...

Let `f:[0,oo) to R` be a continuous strictly increasing function, such that `f^3(x)=int_0^x tdotf^2(t)dt` for every `xgeq0.` Then value of `f(6)` is_______

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CENGAGE PUBLICATION-INTEGRALS-All Questions
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  3. Let f:[0,oo) to R be a continuous strictly increasing function, such t...

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  6. Evaluate: int0^2[x^2-x+1]dx ,w h e r e[dot] denotos the greatest inte...

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

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

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

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

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