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Definite integration as the limit of a s...

Definite integration as the limit of a sum :
`lim_(ntooo)sum_(r=1)^(4n)(sqrtn)/(sqrtr(3sqrtr+4sqrtn)^(2))=...........`

A

`(1)/(35)`

B

`(1)/(14)`

C

`(1)/(10)`

D

`(1)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
C
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KUMAR PRAKASHAN-INTEGRALS -MULTIPLE CHOICE QUESTIONS(MCQS)
  1. Definite integration as the limit of a sum : lim(ntooo)sum(r=1)^(n)(...

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  2. Definite integration as the limit of a sum : lim(ntooo)(1^(p)+2^(p)+...

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  3. Definite integration as the limit of a sum : lim(ntooo)sum(r=1)^(4n)...

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  4. Definite integration as the limit of a sum : lim(ntooo)sum(k=0)^(n)(...

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  5. Definite integration as the limit of a sum : lim(ntooo)[(1)/(n^(2))s...

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  6. Definite integration as the limit of a sum : lim(ntooo)sum(K=1)^(n)(...

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  7. Definite integration as the limit of a sum : lim(ntooo)[(n)/(1+n^(2)...

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  8. Definite integration as the limit of a sum : lim(ntooo)[(1)/(n)+(1)/...

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  9. Definite integration as the limit of a sum : lim(ntooo)(1)/(n)+(1)/(...

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  10. Definite integration as the limit of a sum : lim(ntooo)[(n!)/(n^(n)...

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  11. Definite integration as the limit of a sum : lim(ntooo)(1)/(n)sum(r...

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  12. Definite integration as the limit of a sum : lim(ntooo)[(1)/(n)+(n^(...

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  13. Definite integration as the limit of a sum : lim(ntooo)[(1+(1)/(n^(2...

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  14. Fundamental theorem of definite integral : If I(n)=int(0)^(pi/4)tan^...

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  15. Fundamental theorem of definite integral : f(x)=int(2)^(x)(dt)/(sqrt...

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  16. Fundamental theorem of definite integral : f(x)=int(1)^(x)sqrt(2-t^(...

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  17. Fundamental theorem of definite integral : If int(sinx)^(1)t^(2)f(t)...

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  18. Fundamental theorem of definite integral : I=int(0)^(1)(sinx)/(sqrtx...

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  19. Fundamental theorem of definite integral : (d)/(dx)(F(x))=(e^(sinx))...

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  20. int(1)^(2)logxdx=..........

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