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

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

A

`1/sqrt2 tan^(-1) (x^2 + 1)`

B

`1/sqrt2 tan^(-1)(x^2 - 1)`

C

`1/sqrt2 tan^(-1) ((x^2 + 1)/(sqrt2x))`

D

`1/sqrt2 tan^(-1) ((x^2 - 1)/(sqrt2x))`

Text Solution

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The correct Answer is:
D
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KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER - 7-MATHEMATICS
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  8. int0^(pi//2)(dx)/(1 + tanx)=

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  9. int(0)^(pi//2)(dx)/(a^(2)cos^(2)x + b^(2) sin^(2) x) =

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