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int((x^(2)-1)dx)/((x^(4)+3x^(2)+1)Tan^(-...

`int((x^(2)-1)dx)/((x^(4)+3x^(2)+1)Tan^(-1)((x^(2)+1)/(x)))=`

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))`

Text Solution

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AAKASH INSTITUTE-INTEGRALS-Objective Type Questions (Only one answer)
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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. int((x^(2)-1)dx)/((x^(4)+3x^(2)+1)Tan^(-1)((x^(2)+1)/(x)))=

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

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  8. The value of the definite integral, int1^oo(e^(x+1) +e^(3-x))^-1dx is

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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. The expression (underset(0)overset(n)int[x]dx)/(underset(0)overset(n)i...

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  13. If f(x)={(e^(cosx)sinx, |x|le2),(2, otherwise):} then int-2^3f(x)dx= (...

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  14. The value of int(-pi)^(pi)(cos^(2)x)/(1+a^(x)dx where agt 0, is

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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^3+3x^2+3x+3+(x+1)cos(x+1)dxi se q u a lto -4 (b) 0 (c...

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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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