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The value of int(-2)^1[x[1+cos((pix)/2)]...

The value of `int_(-2)^1[x[1+cos((pix)/2)]+1]dx ,` where [.] denotes the greatest integer function, is (a)1 (b) `1//2` (c) 2 (d) none of these

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CENGAGE ENGLISH-INTEGRALS-All Questions
  1. int(-3)^3 x^8{x^11}dx

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

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

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

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

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

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

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

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  9. Let f(x) be an odd continous function which is periodic with period 2....

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

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  11. Let f: Rveca n dg: RvecR be continuous function. Then the value of the...

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

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

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

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

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

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  17. Evaluate: (int0n[x]dx)/(int0n{x}dx)(w h e r e[x]a n d{x} are integral...

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  18. Evaluate: int(-pi/4)^(npi-pi/4)|sinx+cosx|dx

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  19. The value of int0^(pi/2) (dx)/(1+tan^3 x) is (a) 0 (b) 1 (c) pi/2 (d) ...

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  20. Evaluate: int(-pi)^pi(1-x^2)sinxcos^2xdx

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