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Evaluate: int(x^2-1)/((x^4+3x^2+1)tan^(-...

Evaluate: `int(x^2-1)/((x^4+3x^2+1)tan^(-1)(x+1/x))dx`

A

`cot^(-1)((x^(2)+1)/(x))`

B

`tan^(-1)((x^(2)+1)/(x))`

C

`sin^(-1)((x^(2)+1)/(x))`

D

`cos^(-1)((x^(2)+1)/(x))`

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AAKASH INSTITUTE ENGLISH-INTEGRALS-Objective Type Questions (Only one answer)
  1. The value if int(x^(2)-1)/((x^(2)+1)(sqrt(x^(4)+1)))dx equal to (1)/(s...

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  2. If intf(x)cos x dx = 1/2 f^(2)(x)+C, then f(x) can be

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  3. Evaluate: int(x^2-1)/((x^4+3x^2+1)tan^(-1)(x+1/x))dx

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  4. If the value of lim(n->oo){1/(n+1)+1/(n+2)+.......+1/(6n)} is 'K' th...

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  5. If [] and { } represents greatest integar function and fractional func...

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  6. Value of int(1)^(9)(x-2)(x-4)(x-6)(x-8)(x-5)dx is

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  7. The solution for x of the equation int(sqrt(2))^x(dt)/(tsqrt(t^2-1))=p...

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  8. Evaluate: int1^oo (e^(x+1)+e^(3-x))^(-1)dx

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  9. int(0)^(3)(|x|+|x-1|+|x-2|)dx equals

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  10. If for a real number y ,[y] is the greatest integral function less, th...

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  11. Let y=(x-[x])^([x]) where [x] is greatest integar function, then int(0...

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  12. Evaluate (int(0)^(n)[x]dx)/(int(0)^(n){x}dx) (where [x] and {x} are in...

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  13. If f(x)={(e^cosx sinx ,, |x| leq 2),(2 ,, other wise):}. Then int-2^...

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  14. Find the value of int(-pi)^(pi)(cos^(2)x)/(1+a^(x))dx, agt0.

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  15. Let f(x) be a continuous function such that f(a-x)+f(x)=0 for all x i...

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  16. I(1)=int(0)^((pi)/2)(sinx-cosx)/(1+sinxcosx)dx, I(2)=int(0)^(2pi)cos^(...

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  17. Let f and g be continuous fuctions on [0, a] such that f(x)=f(a-x)" an...

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  18. int(-2)^0{(x+1)^3+2+(x+1)cos(x+1)dx is equal to (A) -4 (B) 0 (C) 4 ...

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  19. Let f(x)=(e^(x)+1)/(e^(x)-1) and int(0)^(1) x^(3) .(e^(x)+1)/(e^(x)-1)...

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  20. Value of the definite integral int(-1/2)^(1/2)(sin^(- 1)(3x-4x^3)-cos^...

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