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Evaluate the definite integrals as limit...

Evaluate the definite integrals as limit of sums `int_1^2x^2dx`

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CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. Evaluate: ("lim")(n to oo)((1^2+2^2+3^3++n^2)(1^3+2^3+3^3++n^3))/(1^6+...

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  2. ifint(dx)/(x^2(x^n+1)^(((n-1)/n))=-[f(x)]^(1/n)+c ,t h e nf(x)i s (1+...

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  3. Evaluate the definite integrals as limit of sums int1^2x^2dx

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  4. Evaluate: inta^bsinx dx using limit of sum

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  5. int(-3)^3 x^8{x^11}dx

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  6. Evaluate: inta^b e^x dx using limit of sum

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  7. The value of int(-2)^1[x[1+cos((pix)/2)]+1]dx , where [.] denotes the...

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  8. Evaluate: lim(n->oo)(((n+1)(n+2)...(n+n))^(1/n))/n

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  9. If g(x)=int0^x(|sint|+|cost|)dt ,then g(x+(pin)/2) is equal to, where...

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  10. Evaluate: lim(n->oo)[1/(n a)+1/(n a+1)+1/(n a+2)++1/(n b)]

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  11. int0^x|sint|dt, where x in (2npi,(2n+1)pi),ninN,is equal to (A) 4n...

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  12. Evaluate lim(n->oo)n[1/((n+1)(n+2))+1/((n+2)(n+4))+....+1/(6n^2)]

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  13. Let f be an odd continous function which is periodic with priod 2 if g...

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  14. Evaluate inta^b(dx)/(sqrt(x)),w h e r ea , b > 0.

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  15. Let f: R to R and g: R to R be continuous function. Then the value of ...

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  16. Evaluate: int(-(3pi)/2)^(-pi/2)[(x+pi)^3+cos^2(x+3pi)]dx

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  17. Evaluate: int0^(1/2)(xsin^(-1)x)/(sqrt(1-x^2))dx

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  18. Evaluate: int0^(100)x-[x]dx where [dot] represents the greatest in...

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  19. If Sn=[1/(1+sqrt(n))+1/(2+sqrt(2n))+....+1/(n+sqrt(n^2))] then (lim)(n...

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  20. The value of ("lim")(nvecoo)sum(r=1)^(4n)(sqrt(n))/(sqrt(r)(3sqrt(r)+s...

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