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if I=int(log(t+sqrt(1+t^2)))/sqrt(1+t^2)...

if `I=int(log(t+sqrt(1+t^2)))/sqrt(1+t^2)dt=1/2(g(t))^2+c` then `g(2)` is (A) `2 log(2+sqrt5)` (B) `log (2 + sqrt 5)` (C) `1/sqrt5 log (2 + sqrt5)` (D) `1/2 log ( 2 + sqrt 5)`

A

`2log(2+sqrt(5))`

B

`log(2+sqrt(5))`

C

`(1)/(sqrt(5))log(2+sqrt(5))`

D

`(1)/(2)log(2+sqrt(5))`

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The correct Answer is:
B
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I=int(log(t+sqrt(1+t^(2))))/(sqrt(1+t^(2)))dt=(1)/(2)(g(t))^(2)+c then g(2) is (A) 2log(2+sqrt(5)) (B) log(2+sqrt(5))(C)(1)/(sqrt(5))log(2+sqrt(5))(D)(1)/(2)log(2+sqrt(5))

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MCGROW HILL PUBLICATION-INDEFINITE INTEGRATION-QUESTION FROM PREVIOUS YEARS.AIEEE/JEE MAIN PAPERS
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  10. If int (2x + 5 )/(sqrt(7 - 6 x - x ^ 2 )) dx = A sqrt (7 - ...

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