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int(x^(2) + 1)/(x^(4) + 1) dx =...

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

A

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

B

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

C

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

D

`(1)/(sqrt(2)) tan^(-1).(x^(2)-1)/(sqrt(2)x)`

Text Solution

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The correct Answer is:
D
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KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER 9-Mathematics
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  2. The area enclosed within the curve |x|+|y| = 1 is

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

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  4. If the position vectors of vec(A) and vec(B) are 3hat(i) - 2hat(j) + h...

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  6. If |vec(a) + vec(b)| = |vec(a) - vec(b)| then

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  7. If |vec(a)| = 5, |vec(b)| = 6 and the angle between vec(a) and vec(b) ...

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  8. If |vec(a)| = 3, |vec(b) = 4 and |vec(a) + vec(b)| = 1, then |vec(a) -...

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  9. {:(" "Lt),(x rarr 0):} [(x)/(sqrt(1+x)-sqrt(1-x))] =

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  10. If y = sin x^(0), (dy)/(dx) =

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  11. If y = tan^(-1)((x+a)/(1-xa)) then (dy)/(dx) =

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  12. If x^(y) = e^(x-y), (dy)/(dx) =

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  13. If x = a(cos theta + theta sin theta), y = a (sin theta - theta cos th...

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  14. The length of the sub - tangent to the curve x^(m)y^(n) = a^(m+n) at a...

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  17. A point of inflection of the curve y = e^(-x^(2)) is

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  18. In what ratio should a given line be divided into a parts so that’s th...

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  19. int""(1)/(1-cosx)dx=

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