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

`int(x^(2)-1)/((x^(2)+1)sqrt(x^(4)+1))` dx is equal to -

A

`sec^(-1)((x^(2)+1)/(xsqrt2))+c`

B

`(1)/(sqrt2)sec^(-1)((x^(2)+1)/(sqrt2))+c`

C

`(1)/(sqrt2)sec^(-1)((x^(2)+1)/(xsqrt2))+c`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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MTG-WBJEE-INDEFINITE INTEGRALS-WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 2 : SINGLE OPTION CORRECT TYPE)
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  2. The value of int((x-2)dx)/{(x-2)^(2)(x+3)^(7)}^(1//3) is

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