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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

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

B

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

C

`log(x+1//x)+c`

D

`log[tan^(-1)(x+1//x)]+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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MTG-WBJEE-INDEFINITE INTEGRALS-WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 2 : SINGLE OPTION CORRECT TYPE)
  1. Evaluate: int(x^2-1)/((x^4+3x^2+1)tan^(-1)(x+1/x))dx

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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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