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int(dt)/(t+sqrt(a^2-t^2))...

`int(dt)/(t+sqrt(a^2-t^2))`

A

`(1)/(2)sin((t)/(a))+log(t+sqrt(a^(2)-t^(2)))+c`

B

`(1)/(2)sin^(-1)((t)/(a))+log sqrt(t+sqrt(a^(2)-t^(2)))+c`

C

`(1)/(2)sin^(-1)((t)/(a))+log sqrt(a+sqrt(a^(2)-t^(2)))+c`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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MTG-WBJEE-INDEFINITE INTEGRALS-WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 2 : SINGLE OPTION CORRECT TYPE)
  1. int(dt)/(t+sqrt(a^2-t^2))

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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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